130901424384 has 72 divisors (see below), whose sum is σ = 348657916320. Its totient is φ = 43600089088.

The previous prime is 130901424373. The next prime is 130901424397. The reversal of 130901424384 is 483424109031.

It is a super-3 number, since 3×130901424384³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 938572 + ... + 1068980.

It is an arithmetic number, because the mean of its divisors is an integer number (4842471060).

Almost surely, 2^130901424384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130901424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174328958160).

130901424384 is an abundant number, since it is smaller than the sum of its proper divisors (217756491936).

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

130901424384 is a wasteful number, since it uses less digits than its factorization.

130901424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131735 (or 131721 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 130901424384 in words is "one hundred thirty billion, nine hundred one million, four hundred twenty-four thousand, three hundred eighty-four".