130160312341920 has 2304 divisors, whose sum is σ = 553617020436480. Its totient is φ = 28251688550400.

The previous prime is 130160312341897. The next prime is 130160312341921. The reversal of 130160312341920 is 29143213061031.

130160312341920 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 603 + 1 + 2 + 3 + 41 + 9 + 2 + 0 = 666.

130160312341920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (130160312341921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 282343410490 + ... + 282343410950.

It is an arithmetic number, because the mean of its divisors is an integer number (240285165120).

Almost surely, 2^{130160312341920} is an apocalyptic number.

130160312341920 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 130160312341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276808510218240).

130160312341920 is an abundant number, since it is smaller than the sum of its proper divisors (423456708094560).

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

130160312341920 is a wasteful number, since it uses less digits than its factorization.

130160312341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 130160312341920 in words is "one hundred thirty trillion, one hundred sixty billion, three hundred twelve million, three hundred forty-one thousand, nine hundred twenty".