2013105004113 has 16 divisors (see below), whose sum is σ = 3096257633280. Its totient is φ = 1139594820816.

The previous prime is 2013105004103. The next prime is 2013105004117. The reversal of 2013105004113 is 3114005013102.

It is not a de Polignac number, because 2013105004113 - 2⁵ = 2013105004081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2013105004113.

It is not an unprimeable number, because it can be changed into a prime (2013105004117) 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, 447951693 + ... + 447956186.

It is an arithmetic number, because the mean of its divisors is an integer number (193516102080).

Almost surely, 2^{2013105004113} is an apocalyptic number.

It is an amenable number.

2013105004113 is a deficient number, since it is larger than the sum of its proper divisors (1083152629167).

2013105004113 is a wasteful number, since it uses less digits than its factorization.

2013105004113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895907996.

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 2013105004113 in words is "two trillion, thirteen billion, one hundred five million, four thousand, one hundred thirteen".