130130013013 has 36 divisors (see below), whose sum is σ = 177011121504. Its totient is φ = 93599906400.

The previous prime is 130130012981. The next prime is 130130013047. The reversal of 130130013013 is 310310031031.

It is not a de Polignac number, because 130130013013 - 2⁵ = 130130012981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130013613) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311403 + ... + 597688.

Almost surely, 2^130130013013 is an apocalyptic number.

130130013013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130130013013 is a deficient number, since it is larger than the sum of its proper divisors (46881108491).

130130013013 is a wasteful number, since it uses less digits than its factorization.

130130013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909146 (or 909122 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 130130013013 its reverse (310310031031), we get a palindrome (440440044044).

It can be divided in two parts, 1301300 and 13013, that multiplied together give a square (16933816900 = 130130²).

The spelling of 130130013013 in words is "one hundred thirty billion, one hundred thirty million, thirteen thousand, thirteen".