313659956313 has 16 divisors (see below), whose sum is σ = 506925182400. Its totient is φ = 190096943040.

The previous prime is 313659956279. The next prime is 313659956321.

313659956313 is a `hidden beast` number, since 3 + 1 + 3 + 65 + 9 + 9 + 563 + 13 = 666.

313659956313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313659956313 - 2⁶ = 313659956249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313659956313.

It is not an unprimeable number, because it can be changed into a prime (313659951313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528046768 + ... + 528047361.

It is an arithmetic number, because the mean of its divisors is an integer number (31682823900).

Almost surely, 2^313659956313 is an apocalyptic number.

313659956313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313659956313 is a deficient number, since it is larger than the sum of its proper divisors (193265226087).

313659956313 is a wasteful number, since it uses less digits than its factorization.

313659956313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056094149 (or 1056094143 counting only the distinct ones).

The product of its digits is 5904900, while the sum is 54.

The spelling of 313659956313 in words is "three hundred thirteen billion, six hundred fifty-nine million, nine hundred fifty-six thousand, three hundred thirteen".