130382203392 has 800 divisors, whose sum is σ = 487685214720. Its totient is φ = 33814609920.

The previous prime is 130382203387. The next prime is 130382203397. The reversal of 130382203392 is 293302283031.

130382203392 is a `hidden beast` number, since 1 + 30 + 38 + 2 + 203 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (130382203387) and next prime (130382203397).

It is a super-2 number, since 2×130382203392² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130382203397) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143119417 + ... + 143120327.

Almost surely, 2^130382203392 is an apocalyptic number.

130382203392 is a gapful number since it is divisible by the number (12) 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 130382203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243842607360).

130382203392 is an abundant number, since it is smaller than the sum of its proper divisors (357303011328).

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

130382203392 is an equidigital number, since it uses as much as digits as its factorization.

130382203392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 130382203392 in words is "one hundred thirty billion, three hundred eighty-two million, two hundred three thousand, three hundred ninety-two".