3102112112013 has 48 divisors (see below), whose sum is σ = 4730272310400. Its totient is φ = 1953583142400.

The previous prime is 3102112111997. The next prime is 3102112112027.

3102112112013 is a `hidden beast` number, since 310 + 211 + 21 + 120 + 1 + 3 = 666.

3102112112013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3102112112013 - 2⁴ = 3102112111997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102112112083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86206881 + ... + 86242857.

It is an arithmetic number, because the mean of its divisors is an integer number (98547339800).

Almost surely, 2^{3102112112013} is an apocalyptic number.

It is an amenable number.

3102112112013 is a deficient number, since it is larger than the sum of its proper divisors (1628160198387).

3102112112013 is a wasteful number, since it uses less digits than its factorization.

3102112112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37442 (or 37439 counting only the distinct ones).

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

The spelling of 3102112112013 in words is "three trillion, one hundred two billion, one hundred twelve million, one hundred twelve thousand, thirteen".