113130122013 has 20 divisors (see below), whose sum is σ = 169006941180. Its totient is φ = 75415577472.

The previous prime is 113130122009. The next prime is 113130122093. The reversal of 113130122013 is 310221031311.

113130122013 is a `hidden beast` number, since 1 + 131 + 301 + 220 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 538332804 + 112591789209 = 23202^2 + 335547^2 .

It is not a de Polignac number, because 113130122013 - 2² = 113130122009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130122093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1848853 + ... + 1909061.

It is an arithmetic number, because the mean of its divisors is an integer number (8450347059).

Almost surely, 2^113130122013 is an apocalyptic number.

It is an amenable number.

113130122013 is a deficient number, since it is larger than the sum of its proper divisors (55876819167).

113130122013 is an equidigital number, since it uses as much as digits as its factorization.

113130122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83418 (or 83409 counting only the distinct ones).

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

Adding to 113130122013 its reverse (310221031311), we get a palindrome (423351153324).

The spelling of 113130122013 in words is "one hundred thirteen billion, one hundred thirty million, one hundred twenty-two thousand, thirteen".