113130000000013 has 8 divisors (see below), whose sum is σ = 114328916629400. Its totient is φ = 111934011129408.

The previous prime is 113129999999927. The next prime is 113130000000047. The reversal of 113130000000013 is 310000000031311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31418289460804 + 81711710539209 = 5605202^2 + 9039453^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113130000000013 - 2³³ = 113121410065421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113129999999930 and 113130000000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130000000113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731862006 + ... + 732016567.

It is an arithmetic number, because the mean of its divisors is an integer number (14291114578675).

Almost surely, 2^{113130000000013} is an apocalyptic number.

It is an amenable number.

113130000000013 is a deficient number, since it is larger than the sum of its proper divisors (1198916629387).

113130000000013 is a wasteful number, since it uses less digits than its factorization.

113130000000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463879391.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 113130000000013 its reverse (310000000031311), we get a palindrome (423130000031324).

The spelling of 113130000000013 in words is "one hundred thirteen trillion, one hundred thirty billion, thirteen", and thus it is an aban number.