130013117013 has 8 divisors (see below), whose sum is σ = 186685501408. Its totient is φ = 80008071984.

The previous prime is 130013116997. The next prime is 130013117029. The reversal of 130013117013 is 310711310031.

It is an interprime number because it is at equal distance from previous prime (130013116997) and next prime (130013117029).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 130013117013 - 2⁴ = 130013116997 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 (130013117063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666834795 + ... + 1666834872.

It is an arithmetic number, because the mean of its divisors is an integer number (23335687676).

Almost surely, 2^130013117013 is an apocalyptic number.

130013117013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130013117013 is a deficient number, since it is larger than the sum of its proper divisors (56672384395).

130013117013 is a wasteful number, since it uses less digits than its factorization.

130013117013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333669683.

The product of its (nonzero) digits is 189, while the sum is 21.

Adding to 130013117013 its reverse (310711310031), we get a palindrome (440724427044).

The spelling of 130013117013 in words is "one hundred thirty billion, thirteen million, one hundred seventeen thousand, thirteen".