diff --git a/stdlib/collections/__init__.pyi b/stdlib/collections/__init__.pyi
index 9380fc426ddc..bce72464fd75 100644
--- a/stdlib/collections/__init__.pyi
+++ b/stdlib/collections/__init__.pyi
@@ -191,21 +191,23 @@ class UserString(Sequence[UserString]):
     def __reversed__(self) -> Iterator[Self]: ...
     def __add__(self, other: object) -> Self: ...
     def __radd__(self, other: object) -> Self: ...
-    def __mul__(self, n: int) -> Self: ...
-    def __rmul__(self, n: int) -> Self: ...
+    def __mul__(self, n: SupportsIndex) -> Self: ...
+    def __rmul__(self, n: SupportsIndex) -> Self: ...
     def __mod__(self, args: Any) -> Self: ...
     def __rmod__(self, template: object) -> Self: ...
     def capitalize(self) -> Self: ...
     def casefold(self) -> Self: ...
-    def center(self, width: int, *args: Any) -> Self: ...
-    def count(self, sub: str | UserString, start: int = 0, end: int = sys.maxsize) -> int: ...
+    def center(self, width: SupportsIndex, *args: Any) -> Self: ...
+    def count(self, sub: str | UserString, start: SupportsIndex | None = 0, end: SupportsIndex | None = sys.maxsize) -> int: ...
     def encode(self: UserString, encoding: str | None = "utf-8", errors: str | None = "strict") -> bytes: ...
-    def endswith(self, suffix: str | tuple[str, ...], start: int | None = 0, end: int | None = sys.maxsize) -> bool: ...
-    def expandtabs(self, tabsize: int = 8) -> Self: ...
-    def find(self, sub: str | UserString, start: int = 0, end: int = sys.maxsize) -> int: ...
+    def endswith(
+        self, suffix: str | tuple[str, ...], start: SupportsIndex | None = 0, end: SupportsIndex | None = sys.maxsize
+    ) -> bool: ...
+    def expandtabs(self, tabsize: SupportsIndex = 8) -> Self: ...
+    def find(self, sub: str | UserString, start: SupportsIndex | None = 0, end: SupportsIndex | None = sys.maxsize) -> int: ...
     def format(self, *args: Any, **kwds: Any) -> str: ...
     def format_map(self, mapping: Mapping[str, Any]) -> str: ...
-    def index(self, sub: str, start: int = 0, end: int = sys.maxsize) -> int: ...
+    def index(self, sub: str, start: SupportsIndex | None = 0, end: SupportsIndex | None = sys.maxsize) -> int: ...
     def isalpha(self) -> bool: ...
     def isalnum(self) -> bool: ...
     def isdecimal(self) -> bool: ...
@@ -219,29 +221,31 @@ class UserString(Sequence[UserString]):
     def isupper(self) -> bool: ...
     def isascii(self) -> bool: ...
     def join(self, seq: Iterable[str]) -> str: ...
-    def ljust(self, width: int, *args: Any) -> Self: ...
+    def ljust(self, width: SupportsIndex, *args: Any) -> Self: ...
     def lower(self) -> Self: ...
     def lstrip(self, chars: str | None = None) -> Self: ...
     maketrans = str.maketrans
     def partition(self, sep: str) -> tuple[str, str, str]: ...
     def removeprefix(self, prefix: str | UserString, /) -> Self: ...
     def removesuffix(self, suffix: str | UserString, /) -> Self: ...
-    def replace(self, old: str | UserString, new: str | UserString, maxsplit: int = -1) -> Self: ...
-    def rfind(self, sub: str | UserString, start: int = 0, end: int = sys.maxsize) -> int: ...
-    def rindex(self, sub: str | UserString, start: int = 0, end: int = sys.maxsize) -> int: ...
-    def rjust(self, width: int, *args: Any) -> Self: ...
+    def replace(self, old: str | UserString, new: str | UserString, maxsplit: SupportsIndex = -1) -> Self: ...
+    def rfind(self, sub: str | UserString, start: SupportsIndex | None = 0, end: SupportsIndex | None = sys.maxsize) -> int: ...
+    def rindex(self, sub: str | UserString, start: SupportsIndex | None = 0, end: SupportsIndex | None = sys.maxsize) -> int: ...
+    def rjust(self, width: SupportsIndex, *args: Any) -> Self: ...
     def rpartition(self, sep: str) -> tuple[str, str, str]: ...
     def rstrip(self, chars: str | None = None) -> Self: ...
-    def split(self, sep: str | None = None, maxsplit: int = -1) -> list[str]: ...
-    def rsplit(self, sep: str | None = None, maxsplit: int = -1) -> list[str]: ...
+    def split(self, sep: str | None = None, maxsplit: SupportsIndex = -1) -> list[str]: ...
+    def rsplit(self, sep: str | None = None, maxsplit: SupportsIndex = -1) -> list[str]: ...
     def splitlines(self, keepends: bool = False) -> list[str]: ...
-    def startswith(self, prefix: str | tuple[str, ...], start: int | None = 0, end: int | None = sys.maxsize) -> bool: ...
+    def startswith(
+        self, prefix: str | tuple[str, ...], start: SupportsIndex | None = 0, end: SupportsIndex | None = sys.maxsize
+    ) -> bool: ...
     def strip(self, chars: str | None = None) -> Self: ...
     def swapcase(self) -> Self: ...
     def title(self) -> Self: ...
     def translate(self, *args: Any) -> Self: ...
     def upper(self) -> Self: ...
-    def zfill(self, width: int) -> Self: ...
+    def zfill(self, width: SupportsIndex) -> Self: ...
 
 @disjoint_base
 class deque(MutableSequence[_T]):