130312727712 has 72 divisors (see below), whose sum is σ = 375041669184. Its totient is φ = 42914223744.

The previous prime is 130312727663. The next prime is 130312727801. The reversal of 130312727712 is 217727213031.

130312727712 is a `hidden beast` number, since 1 + 303 + 1 + 272 + 77 + 12 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2701848 + ... + 2749655.

It is an arithmetic number, because the mean of its divisors is an integer number (5208912072).

Almost surely, 2^130312727712 is an apocalyptic number.

130312727712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130312727712 is an abundant number, since it is smaller than the sum of its proper divisors (244728941472).

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

130312727712 is a wasteful number, since it uses less digits than its factorization.

130312727712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451602 (or 5451591 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 130312727712 in words is "one hundred thirty billion, three hundred twelve million, seven hundred twenty-seven thousand, seven hundred twelve".