130013003031120 has 160 divisors (see below), whose sum is σ = 488533708448640. Its totient is φ = 31518303759360.

The previous prime is 130013003031113. The next prime is 130013003031151. The reversal of 130013003031120 is 21130300310031.

It is a happy number.

130013003031120 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 300 + 30 + 311 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130013003031093 and 130013003031102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2735940109 + ... + 2735987628.

It is an arithmetic number, because the mean of its divisors is an integer number (3053335677804).

Almost surely, 2^{130013003031120} is an apocalyptic number.

130013003031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130013003031120 is an abundant number, since it is smaller than the sum of its proper divisors (358520705417520).

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

130013003031120 is a wasteful number, since it uses less digits than its factorization.

130013003031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471927770 (or 5471927758 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130013003031120 its reverse (21130300310031), we get a palindrome (151143303341151).

The spelling of 130013003031120 in words is "one hundred thirty trillion, thirteen billion, three million, thirty-one thousand, one hundred twenty".