130131200013 has 16 divisors (see below), whose sum is σ = 185212684800. Its totient is φ = 81030544560.

The previous prime is 130131199997. The next prime is 130131200029. The reversal of 130131200013 is 310002131031.

It is an interprime number because it is at equal distance from previous prime (130131199997) and next prime (130131200029).

It is not a de Polignac number, because 130131200013 - 2⁴ = 130131199997 is a prime.

It is a super-2 number, since 2×130131200013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130131199965 and 130131200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131200083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16073443 + ... + 16081536.

It is an arithmetic number, because the mean of its divisors is an integer number (11575792800).

Almost surely, 2^130131200013 is an apocalyptic number.

It is an amenable number.

130131200013 is a deficient number, since it is larger than the sum of its proper divisors (55081484787).

130131200013 is a wasteful number, since it uses less digits than its factorization.

130131200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32155072.

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

Adding to 130131200013 its reverse (310002131031), we get a palindrome (440133331044).

The spelling of 130131200013 in words is "one hundred thirty billion, one hundred thirty-one million, two hundred thousand, thirteen".