130203832320000 has 3200 divisors, whose sum is σ = 544003927394400. Its totient is φ = 30958682112000.

The previous prime is 130203832319993. The next prime is 130203832320041. The reversal of 130203832320000 is 23238302031.

130203832320000 is a `hidden beast` number, since 1 + 30 + 20 + 383 + 232 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 6852833279991 + ... + 6852833280009.

Almost surely, 2^{130203832320000} is an apocalyptic number.

130203832320000 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 130203832320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272001963697200).

130203832320000 is an abundant number, since it is smaller than the sum of its proper divisors (413800095074400).

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

130203832320000 is an frugal number, since it uses more digits than its factorization.

130203832320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 130203832320000 in words is "one hundred thirty trillion, two hundred three billion, eight hundred thirty-two million, three hundred twenty thousand".