3101122211013 has 96 divisors (see below), whose sum is σ = 4914416707200. Its totient is φ = 1876834713600.

The previous prime is 3101122211009. The next prime is 3101122211023.

3101122211013 is a `hidden beast` number, since 310 + 11 + 222 + 110 + 13 = 666.

3101122211013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3101122211013 - 2² = 3101122211009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101122211023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230714373 + ... + 230727813.

It is an arithmetic number, because the mean of its divisors is an integer number (51191840700).

Almost surely, 2^{3101122211013} is an apocalyptic number.

It is an amenable number.

3101122211013 is a deficient number, since it is larger than the sum of its proper divisors (1813294496187).

3101122211013 is a wasteful number, since it uses less digits than its factorization.

3101122211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14003 (or 14000 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 3101122211013 in words is "three trillion, one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, thirteen".