130013200113 has 32 divisors (see below), whose sum is σ = 188159811840. Its totient is φ = 79605630720.

The previous prime is 130013200087. The next prime is 130013200181. The reversal of 130013200113 is 311002310031.

It is not a de Polignac number, because 130013200113 - 2⁵ = 130013200081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130013200092 and 130013200101.

It is not an unprimeable number, because it can be changed into a prime (130013200313) 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 31 ways as a sum of consecutive naturals, for example, 182695 + ... + 541667.

It is an arithmetic number, because the mean of its divisors is an integer number (5879994120).

Almost surely, 2^130013200113 is an apocalyptic number.

It is an amenable number.

130013200113 is a deficient number, since it is larger than the sum of its proper divisors (58146611727).

130013200113 is a wasteful number, since it uses less digits than its factorization.

130013200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359209.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130013200113 its reverse (311002310031), we get a palindrome (441015510144).

The spelling of 130013200113 in words is "one hundred thirty billion, thirteen million, two hundred thousand, one hundred thirteen".