313325523313 has 16 divisors (see below), whose sum is σ = 342789475392. Its totient is φ = 284025664000.

The previous prime is 313325523307. The next prime is 313325523317.

313325523313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313325523313 - 2¹⁷ = 313325392241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313325523317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8367753 + ... + 8405113.

It is an arithmetic number, because the mean of its divisors is an integer number (21424342212).

Almost surely, 2^313325523313 is an apocalyptic number.

It is an amenable number.

313325523313 is a deficient number, since it is larger than the sum of its proper divisors (29463952079).

313325523313 is a wasteful number, since it uses less digits than its factorization.

313325523313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39536.

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

It can be divided in two parts, 313325 and 523313, that added together give a palindrome (836638).

The spelling of 313325523313 in words is "three hundred thirteen billion, three hundred twenty-five million, five hundred twenty-three thousand, three hundred thirteen".