310312121213013 has 16 divisors (see below), whose sum is σ = 414578578378560. Its totient is φ = 206460456781824.

The previous prime is 310312121212997. The next prime is 310312121213021.

310312121213013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310312121213013 - 2⁴ = 310312121212997 is a prime.

It is a super-2 number, since 2×310312121213013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310312121213053) 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, 26430831 + ... + 36320972.

It is an arithmetic number, because the mean of its divisors is an integer number (25911161148660).

Almost surely, 2^{310312121213013} is an apocalyptic number.

It is an amenable number.

310312121213013 is a deficient number, since it is larger than the sum of its proper divisors (104266457165547).

310312121213013 is a wasteful number, since it uses less digits than its factorization.

310312121213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62755108.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 310312121213013 in words is "three hundred ten trillion, three hundred twelve billion, one hundred twenty-one million, two hundred thirteen thousand, thirteen".