130310110013 has 16 divisors (see below), whose sum is σ = 140621883840. Its totient is φ = 120293811456.

The previous prime is 130310110003. The next prime is 130310110019. The reversal of 130310110013 is 310011013031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 130310110013 - 2⁶ = 130310109949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130310110013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130310110019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3168206 + ... + 3209072.

It is an arithmetic number, because the mean of its divisors is an integer number (8788867740).

Almost surely, 2^130310110013 is an apocalyptic number.

It is an amenable number.

130310110013 is a deficient number, since it is larger than the sum of its proper divisors (10311773827).

130310110013 is a wasteful number, since it uses less digits than its factorization.

130310110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44476.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 130310110013 its reverse (310011013031), we get a palindrome (440321123044).

The spelling of 130310110013 in words is "one hundred thirty billion, three hundred ten million, one hundred ten thousand, thirteen".