1313 = 13 x 101.
1313 is an evil number because it has an even number of 1s in its binary expansion: 10100100001.
1313 has two representations as a sum of two squares: 1313 = 172 + 322 = 232 + 282.
1313 is the hypotenuse of two primitive Pythagorean triples: 13132 = 2552 + 12882 = 7352 + 10882.
1313 is a divisor of 1006 - 1.