2013012200113 has 16 divisors (see below), whose sum is σ = 2149771276800. Its totient is φ = 1880752688640.

The previous prime is 2013012200063. The next prime is 2013012200153. The reversal of 2013012200113 is 3110022103102.

It is a cyclic number.

It is not a de Polignac number, because 2013012200113 - 2¹³ = 2013012191921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013012200153) 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, 12255393 + ... + 12418561.

It is an arithmetic number, because the mean of its divisors is an integer number (134360704800).

Almost surely, 2^{2013012200113} is an apocalyptic number.

It is an amenable number.

2013012200113 is a deficient number, since it is larger than the sum of its proper divisors (136759076687).

2013012200113 is a wasteful number, since it uses less digits than its factorization.

2013012200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176952.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2013012200113 its reverse (3110022103102), we get a palindrome (5123034303215).

The spelling of 2013012200113 in words is "two trillion, thirteen billion, twelve million, two hundred thousand, one hundred thirteen".