130312013 has 12 divisors (see below), whose sum is σ = 148537440. Its totient is φ = 113954256.

The previous prime is 130311991. The next prime is 130312019. The reversal of 130312013 is 310213031.

It is not a de Polignac number, because 130312013 - 2¹⁰ = 130310989 is a prime.

It is a super-2 number, since 2×130312013² = 33962441464224338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130312019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17081 + ... + 23502.

It is an arithmetic number, because the mean of its divisors is an integer number (12378120).

Almost surely, 2^130312013 is an apocalyptic number.

130312013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130312013 is a deficient number, since it is larger than the sum of its proper divisors (18225427).

130312013 is a wasteful number, since it uses less digits than its factorization.

130312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40628 (or 40615 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 130312013 is about 11415.4287260707. The cubic root of 130312013 is about 506.9846587512.

Adding to 130312013 its reverse (310213031), we get a palindrome (440525044).

The spelling of 130312013 in words is "one hundred thirty million, three hundred twelve thousand, thirteen".