130917075610000 has 75 divisors (see below), whose sum is σ = 316966101981991. Its totient is φ = 52366372568000.

The previous prime is 130917075609989. The next prime is 130917075610001. The reversal of 130917075610000 is 16570719031.

The square root of 130917075610000 is 11441900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10263898727824 + 120653176882176 = 3203732^2 + 10984224^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130917075610001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1144132791 + ... + 1144247209.

Almost surely, 2^{130917075610000} is an apocalyptic number.

130917075610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130917075610000 is the 11441900-th square number.

It is an amenable number.

130917075610000 is an abundant number, since it is smaller than the sum of its proper divisors (186049026371991).

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

130917075610000 is an frugal number, since it uses more digits than its factorization.

130917075610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228866 (or 114426 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 40.

The spelling of 130917075610000 in words is "one hundred thirty trillion, nine hundred seventeen billion, seventy-five million, six hundred ten thousand".