31321522512313 has 6 divisors (see below), whose sum is σ = 34427789207882. Its totient is φ = 28474111374720.

The previous prime is 31321522512263. The next prime is 31321522512331.

31321522512313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 30610193891904 + 711328620409 = 5532648^2 + 843403^2 .

It is not a de Polignac number, because 31321522512313 - 2³⁷ = 31184083558841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31321522512713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129427778856 + ... + 129427779097.

Almost surely, 2^{31321522512313} is an apocalyptic number.

It is an amenable number.

31321522512313 is a deficient number, since it is larger than the sum of its proper divisors (3106266695569).

31321522512313 is a wasteful number, since it uses less digits than its factorization.

31321522512313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258855557975 (or 258855557964 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

It can be divided in two parts, 3132152 and 2512313, that added together give a palindrome (5644465).

The spelling of 31321522512313 in words is "thirty-one trillion, three hundred twenty-one billion, five hundred twenty-two million, five hundred twelve thousand, three hundred thirteen".