130945713120 has 72 divisors (see below), whose sum is σ = 446852250936. Its totient is φ = 34918856448.

The previous prime is 130945713071. The next prime is 130945713169. The reversal of 130945713120 is 21317549031.

130945713120 is a `hidden beast` number, since 1 + 30 + 9 + 4 + 571 + 31 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (130945713071) and next prime (130945713169).

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 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, 45465822 + ... + 45468701.

It is an arithmetic number, because the mean of its divisors is an integer number (6206281263).

Almost surely, 2^130945713120 is an apocalyptic number.

130945713120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130945713120 is an abundant number, since it is smaller than the sum of its proper divisors (315906537816).

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

130945713120 is a wasteful number, since it uses less digits than its factorization.

130945713120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90934544 (or 90934533 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 130945713120 in words is "one hundred thirty billion, nine hundred forty-five million, seven hundred thirteen thousand, one hundred twenty".