130000130013 has 16 divisors (see below), whose sum is σ = 186673959360. Its totient is φ = 79997034624.

The previous prime is 130000130003. The next prime is 130000130021. The reversal of 130000130013 is 310031000031.

It is not a de Polignac number, because 130000130013 - 2⁴ = 130000129997 is a prime.

130000130013 is a modest number, since divided by 130013 gives 1300 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000130003) 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, 1403545 + ... + 1493297.

It is an arithmetic number, because the mean of its divisors is an integer number (11667122460).

Almost surely, 2^130000130013 is an apocalyptic number.

130000130013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130000130013 is a deficient number, since it is larger than the sum of its proper divisors (56673829347).

130000130013 is a wasteful number, since it uses less digits than its factorization.

130000130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126908.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 130000130013 its reverse (310031000031), we get a palindrome (440031130044).

The spelling of 130000130013 in words is "one hundred thirty billion, one hundred thirty thousand, thirteen".