130000000013 has 16 divisors (see below), whose sum is σ = 141431124912. Its totient is φ = 118774080000.

The previous prime is 130000000007. The next prime is 130000000019. The reversal of 130000000013 is 310000000031.

It is an interprime number because it is at equal distance from previous prime (130000000007) and next prime (130000000019).

It can be written as a sum of positive squares in 8 ways, for example, as 908540164 + 129091459849 = 30142^2 + 359293^2 .

It is a cyclic number.

It is not a de Polignac number, because 130000000013 - 2⁶ = 129999999949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000000019) 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, 4635353 + ... + 4663313.

It is an arithmetic number, because the mean of its divisors is an integer number (8839445307).

Almost surely, 2^130000000013 is an apocalyptic number.

130000000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130000000013 is a deficient number, since it is larger than the sum of its proper divisors (11431124899).

130000000013 is a wasteful number, since it uses less digits than its factorization.

130000000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31616.

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 130000000013 its reverse (310000000031), we get a palindrome (440000000044).

It can be divided in two parts, 1300000000 and 13, that multiplied together give a square (16900000000 = 130000²).

The spelling of 130000000013 in words is "one hundred thirty billion, thirteen", and thus it is an aban number.