130013013 has 16 divisors (see below), whose sum is σ = 187140800. Its totient is φ = 79812864.

The previous prime is 130013011. The next prime is 130013017. The reversal of 130013013 is 310310031.

It is not a de Polignac number, because 130013013 - 2¹ = 130013011 is a prime.

It is a Duffinian number.

130013013 is a modest number, since divided by 13013 gives 130 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 130013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013011) 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, 13038 + ... + 20736.

It is an arithmetic number, because the mean of its divisors is an integer number (11696300).

Almost surely, 2^130013013 is an apocalyptic number.

130013013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130013013 is a deficient number, since it is larger than the sum of its proper divisors (57127787).

130013013 is a wasteful number, since it uses less digits than its factorization.

130013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8148.

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

The square root of 130013013 is about 11402.3248945116. The cubic root of 130013013 is about 506.5966042222.

Adding to 130013013 its reverse (310310031), we get a palindrome (440323044).

The spelling of 130013013 in words is "one hundred thirty million, thirteen thousand, thirteen".