130013011320 has 128 divisors (see below), whose sum is σ = 393495459840. Its totient is φ = 34363929600.

The previous prime is 130013011319. The next prime is 130013011321. The reversal of 130013011320 is 23110310031.

It is an interprime number because it is at equal distance from previous prime (130013011319) and next prime (130013011321).

It is a super-2 number, since 2×130013011320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130013011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013011321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8381812 + ... + 8397308.

It is an arithmetic number, because the mean of its divisors is an integer number (3074183280).

Almost surely, 2^130013011320 is an apocalyptic number.

130013011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130013011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196747729920).

130013011320 is an abundant number, since it is smaller than the sum of its proper divisors (263482448520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130013011320 is a wasteful number, since it uses less digits than its factorization.

130013011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16125 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130013011320 its reverse (23110310031), we get a palindrome (153123321351).

The spelling of 130013011320 in words is "one hundred thirty billion, thirteen million, eleven thousand, three hundred twenty".