303 = 3 x 101.
303 is the number of bipartite graphs on eight nodes (vertices).
3033 = 27,818,127, which is a concatenation of the cubes 1, 8, and 27.
303 is a divisor of 1012 - 1.
303 is a number that cannot be written as a sum of three squares.
In the Gregorian calendar, 303 is the number of years that are not leap years in a period of 400 years.