2013100113013 has 16 divisors (see below), whose sum is σ = 2386264688640. Its totient is φ = 1677842348400.

The previous prime is 2013100113001. The next prime is 2013100113029. The reversal of 2013100113013 is 3103110013102.

It is a cyclic number.

It is not a de Polignac number, because 2013100113013 - 2³³ = 2004510178421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013100110013) 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, 155349295 + ... + 155362252.

It is an arithmetic number, because the mean of its divisors is an integer number (149141543040).

Almost surely, 2^{2013100113013} is an apocalyptic number.

It is an amenable number.

2013100113013 is a deficient number, since it is larger than the sum of its proper divisors (373164575627).

2013100113013 is a wasteful number, since it uses less digits than its factorization.

2013100113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310711608.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 2013100113013 its reverse (3103110013102), we get a palindrome (5116210126115).

The spelling of 2013100113013 in words is "two trillion, thirteen billion, one hundred million, one hundred thirteen thousand, thirteen".