310311222113013 has 24 divisors (see below), whose sum is σ = 454808578769664. Its totient is φ = 188056079101440.

The previous prime is 310311222112979. The next prime is 310311222113089.

310311222113013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310311222113013 - 2¹⁷ = 310311221981941 is a prime.

It is a super-3 number, since 3×310311222113013³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310311222103013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19709356 + ... + 31766037.

It is an arithmetic number, because the mean of its divisors is an integer number (18950357448736).

Almost surely, 2^{310311222113013} is an apocalyptic number.

310311222113013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

310311222113013 is a deficient number, since it is larger than the sum of its proper divisors (144497356656651).

310311222113013 is a wasteful number, since it uses less digits than its factorization.

310311222113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51492025 (or 51492014 counting only the distinct ones).

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

The spelling of 310311222113013 in words is "three hundred ten trillion, three hundred eleven billion, two hundred twenty-two million, one hundred thirteen thousand, thirteen".