130013504145 has 96 divisors (see below), whose sum is σ = 273046775040. Its totient is φ = 55867576320.

The previous prime is 130013504083. The next prime is 130013504191. The reversal of 130013504145 is 541405310031.

It is a happy number.

130013504145 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 13 + 504 + 145 = 666.

It is not a de Polignac number, because 130013504145 - 2²⁷ = 129879286417 is a prime.

It is a super-2 number, since 2×130013504145² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4317190 + ... + 4347200.

It is an arithmetic number, because the mean of its divisors is an integer number (2844237240).

Almost surely, 2^130013504145 is an apocalyptic number.

130013504145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130013504145 is an abundant number, since it is smaller than the sum of its proper divisors (143033270895).

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

130013504145 is a wasteful number, since it uses less digits than its factorization.

130013504145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30855 (or 30852 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 130013504145 its reverse (541405310031), we get a palindrome (671418814176).

The spelling of 130013504145 in words is "one hundred thirty billion, thirteen million, five hundred four thousand, one hundred forty-five".