313321329 has 36 divisors (see below), whose sum is σ = 470088996. Its totient is φ = 201049344.

The previous prime is 313321313. The next prime is 313321331. The reversal of 313321329 is 923123313.

313321329 is a `hidden beast` number, since 3 + 1 + 332 + 1 + 329 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180956304 + 132365025 = 13452^2 + 11505^2 .

It is not a de Polignac number, because 313321329 - 2⁴ = 313321313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313321399) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2286949 + ... + 2287085.

Almost surely, 2^313321329 is an apocalyptic number.

It is an amenable number.

313321329 is a deficient number, since it is larger than the sum of its proper divisors (156767667).

313321329 is a wasteful number, since it uses less digits than its factorization.

313321329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 272 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 313321329 is about 17700.8849778761. The cubic root of 313321329 is about 679.1983987047.

The spelling of 313321329 in words is "three hundred thirteen million, three hundred twenty-one thousand, three hundred twenty-nine".