310313121313013 has 32 divisors (see below), whose sum is σ = 385878954058752. Its totient is φ = 242982086688000.

The previous prime is 310313121313003. The next prime is 310313121313037.

310313121313013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 310313121313013 - 2⁶ = 310313121312949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310313121313003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12812420 + ... + 28014002.

It is an arithmetic number, because the mean of its divisors is an integer number (12058717314336).

Almost surely, 2^{310313121313013} is an apocalyptic number.

It is an amenable number.

310313121313013 is a deficient number, since it is larger than the sum of its proper divisors (75565832745739).

310313121313013 is a wasteful number, since it uses less digits than its factorization.

310313121313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15203925.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 310313121313013 in words is "three hundred ten trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred thirteen thousand, thirteen".