3114002004113 has 96 divisors (see below), whose sum is σ = 4331555644416. Its totient is φ = 2177062272000.

The previous prime is 3114002004103. The next prime is 3114002004119.

3114002004113 is nontrivially palindromic in base 10.

3114002004113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3114002004113 - 2⁴ = 3114002004097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3114002004119) 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, 122330495 + ... + 122355947.

It is an arithmetic number, because the mean of its divisors is an integer number (45120371296).

Almost surely, 2^{3114002004113} is an apocalyptic number.

It is an amenable number.

3114002004113 is a deficient number, since it is larger than the sum of its proper divisors (1217553640303).

3114002004113 is a wasteful number, since it uses less digits than its factorization.

3114002004113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25807 (or 25796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 3114002004113 in words is "three trillion, one hundred fourteen billion, two million, four thousand, one hundred thirteen".