313231343132313 has 96 divisors (see below), whose sum is σ = 495106717637376. Its totient is φ = 190281885640704.

The previous prime is 313231343132299. The next prime is 313231343132419.

It is a happy number.

313231343132313 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 313 + 4 + 3 + 1 + 323 + 13 = 666.

313231343132313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313231343132313 - 2²¹ = 313231341035161 is a prime.

It is a super-2 number, since 2×313231343132313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313231343142313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74553006 + ... + 78642312.

It is an arithmetic number, because the mean of its divisors is an integer number (5157361642056).

Almost surely, 2^{313231343132313} is an apocalyptic number.

It is an amenable number.

313231343132313 is a deficient number, since it is larger than the sum of its proper divisors (181875374505063).

313231343132313 is a wasteful number, since it uses less digits than its factorization.

313231343132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089583 (or 4089580 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 313231343132313 in words is "three hundred thirteen trillion, two hundred thirty-one billion, three hundred forty-three million, one hundred thirty-two thousand, three hundred thirteen".