130113200013 has 16 divisors (see below), whose sum is σ = 173840354496. Its totient is φ = 86564213120.

The previous prime is 130113200011. The next prime is 130113200023. The reversal of 130113200013 is 310002311031.

It is a cyclic number.

It is not a de Polignac number, because 130113200013 - 2¹ = 130113200011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130113199965 and 130113200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130113200011) 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, 4670995 + ... + 4698767.

It is an arithmetic number, because the mean of its divisors is an integer number (10865022156).

Almost surely, 2^130113200013 is an apocalyptic number.

It is an amenable number.

130113200013 is a deficient number, since it is larger than the sum of its proper divisors (43727154483).

130113200013 is a wasteful number, since it uses less digits than its factorization.

130113200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30924.

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

Adding to 130113200013 its reverse (310002311031), we get a palindrome (440115511044).

The spelling of 130113200013 in words is "one hundred thirty billion, one hundred thirteen million, two hundred thousand, thirteen".