diff --git a/pandas/_libs/tslibs/nattype.pyi b/pandas/_libs/tslibs/nattype.pyi
index f49e894a0bfec..fa1577f033fff 100644
--- a/pandas/_libs/tslibs/nattype.pyi
+++ b/pandas/_libs/tslibs/nattype.pyi
@@ -9,6 +9,7 @@ from typing import (
     Literal,
     NoReturn,
     TypeAlias,
+    overload,
 )
 
 import numpy as np
@@ -159,15 +160,31 @@ class NaTType:
     # inject Period properties
     @property
     def qyear(self) -> float: ...
+    # comparisons
     def __eq__(self, other: object) -> bool: ...
     def __ne__(self, other: object) -> bool: ...
     __lt__: _NatComparison
     __le__: _NatComparison
     __gt__: _NatComparison
     __ge__: _NatComparison
+    # unary operators
+    def __pos__(self) -> Self: ...
+    def __neg__(self) -> Self: ...
+    # binary operators
     def __sub__(self, other: Self | timedelta | datetime) -> Self: ...
     def __rsub__(self, other: Self | timedelta | datetime) -> Self: ...
     def __add__(self, other: Self | timedelta | datetime) -> Self: ...
     def __radd__(self, other: Self | timedelta | datetime) -> Self: ...
+    def __mul__(self, other: float) -> Self: ...  # analogous to timedelta
+    def __rmul__(self, other: float) -> Self: ...
+    @overload  # analogous to timedelta
+    def __truediv__(self, other: Self | timedelta) -> float: ...  # Literal[NaN]
+    @overload
+    def __truediv__(self, other: float) -> Self: ...
+    @overload  # analogous to timedelta
+    def __floordiv__(self, other: Self | timedelta) -> float: ...  # Literal[NaN]
+    @overload
+    def __floordiv__(self, other: float) -> Self: ...
+    # other
     def __hash__(self) -> int: ...
     def as_unit(self, unit: str, round_ok: bool = ...) -> NaTType: ...