130864809312 has 72 divisors (see below), whose sum is σ = 372200119200. Its totient is φ = 43615353600.

The previous prime is 130864809247. The next prime is 130864809349. The reversal of 130864809312 is 213908468031.

130864809312 is a `hidden beast` number, since 1 + 3 + 0 + 86 + 480 + 93 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×130864809312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2261314 + ... + 2318462.

It is an arithmetic number, because the mean of its divisors is an integer number (5169446100).

Almost surely, 2^130864809312 is an apocalyptic number.

130864809312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130864809312 is an abundant number, since it is smaller than the sum of its proper divisors (241335309888).

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

130864809312 is a wasteful number, since it uses less digits than its factorization.

130864809312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65116 (or 65105 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 130864809312 in words is "one hundred thirty billion, eight hundred sixty-four million, eight hundred nine thousand, three hundred twelve".