130181045944320 has 3000 divisors, whose sum is σ = 599853368293344. Its totient is φ = 26787711025152.

The previous prime is 130181045944307. The next prime is 130181045944321. The reversal of 130181045944320 is 23449540181031.

130181045944320 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 8 + 10 + 4 + 594 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (130181045944321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5660045475829 + ... + 5660045475851.

Almost surely, 2^{130181045944320} is an apocalyptic number.

130181045944320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130181045944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299926684146672).

130181045944320 is an abundant number, since it is smaller than the sum of its proper divisors (469672322349024).

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

130181045944320 is an frugal number, since it uses more digits than its factorization.

130181045944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 130181045944320 in words is "one hundred thirty trillion, one hundred eighty-one billion, forty-five million, nine hundred forty-four thousand, three hundred twenty".