313110011313 has 12 divisors (see below), whose sum is σ = 493385472528. Its totient is φ = 189763643160.

The previous prime is 313110011257. The next prime is 313110011351.

313110011313 is a `hidden beast` number, since 31 + 311 + 0 + 0 + 11 + 313 = 666.

313110011313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313110011313 - 2¹³ = 313110003121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313110011113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1581363595 + ... + 1581363792.

It is an arithmetic number, because the mean of its divisors is an integer number (41115456044).

Almost surely, 2^313110011313 is an apocalyptic number.

313110011313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313110011313 is a deficient number, since it is larger than the sum of its proper divisors (180275461215).

313110011313 is a wasteful number, since it uses less digits than its factorization.

313110011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162727404 (or 3162727401 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 3131100 and 11313, that added together give a palindrome (3142413).

The spelling of 313110011313 in words is "three hundred thirteen billion, one hundred ten million, eleven thousand, three hundred thirteen".