13100201012113 has 16 divisors (see below), whose sum is σ = 13837783624192. Its totient is φ = 12382327440000.

The previous prime is 13100201012083. The next prime is 13100201012141. The reversal of 13100201012113 is 31121010200131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13100201012113 - 2²⁵ = 13100167457681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13100201015113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39024403 + ... + 39358663.

It is an arithmetic number, because the mean of its divisors is an integer number (864861476512).

Almost surely, 2^{13100201012113} is an apocalyptic number.

It is an amenable number.

13100201012113 is a deficient number, since it is larger than the sum of its proper divisors (737582612079).

13100201012113 is a wasteful number, since it uses less digits than its factorization.

13100201012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363736.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13100201012113 its reverse (31121010200131), we get a palindrome (44221211212244).

The spelling of 13100201012113 in words is "thirteen trillion, one hundred billion, two hundred one million, twelve thousand, one hundred thirteen".