130805133360 has 480 divisors, whose sum is σ = 465090232320. Its totient is φ = 30350960640.

The previous prime is 130805133359. The next prime is 130805133383. The reversal of 130805133360 is 63331508031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106953709 + ... + 106954931.

It is an arithmetic number, because the mean of its divisors is an integer number (968937984).

Almost surely, 2^130805133360 is an apocalyptic number.

130805133360 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 130805133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232545116160).

130805133360 is an abundant number, since it is smaller than the sum of its proper divisors (334285098960).

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

130805133360 is a wasteful number, since it uses less digits than its factorization.

130805133360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 130805133360 in words is "one hundred thirty billion, eight hundred five million, one hundred thirty-three thousand, three hundred sixty".