313523325313 has 16 divisors (see below), whose sum is σ = 343131163200. Its totient is φ = 284100379200.

The previous prime is 313523325287. The next prime is 313523325341.

313523325313 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-313523325313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313523325383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11645598 + ... + 11672488.

It is an arithmetic number, because the mean of its divisors is an integer number (21445697700).

Almost surely, 2^313523325313 is an apocalyptic number.

It is an amenable number.

313523325313 is a deficient number, since it is larger than the sum of its proper divisors (29607837887).

313523325313 is a wasteful number, since it uses less digits than its factorization.

313523325313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30288.

The product of its digits is 72900, while the sum is 34.

It can be divided in two parts, 313523 and 325313, that added together give a palindrome (638836).

The spelling of 313523325313 in words is "three hundred thirteen billion, five hundred twenty-three million, three hundred twenty-five thousand, three hundred thirteen".