113132120013 has 64 divisors (see below), whose sum is σ = 193943808000. Its totient is φ = 64415450880.

The previous prime is 113132120009. The next prime is 113132120039. The reversal of 113132120013 is 310021231311.

113132120013 is a `hidden beast` number, since 1 + 131 + 321 + 200 + 13 = 666.

It is not a de Polignac number, because 113132120013 - 2² = 113132120009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113132120063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2822688 + ... + 2862486.

It is an arithmetic number, because the mean of its divisors is an integer number (3030372000).

Almost surely, 2^113132120013 is an apocalyptic number.

It is an amenable number.

113132120013 is a deficient number, since it is larger than the sum of its proper divisors (80811687987).

113132120013 is a wasteful number, since it uses less digits than its factorization.

113132120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40399 (or 40393 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113132120013 its reverse (310021231311), we get a palindrome (423153351324).

The spelling of 113132120013 in words is "one hundred thirteen billion, one hundred thirty-two million, one hundred twenty thousand, thirteen".