130875431301120 has 624 divisors, whose sum is σ = 460992854167776. Its totient is φ = 31678188748800.

The previous prime is 130875431301091. The next prime is 130875431301151. The reversal of 130875431301120 is 21103134578031.

It is a super-2 number, since 2×130875431301120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4914019324 + ... + 4914045956.

Almost surely, 2^{130875431301120} is an apocalyptic number.

130875431301120 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 130875431301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230496427083888).

130875431301120 is an abundant number, since it is smaller than the sum of its proper divisors (330117422866656).

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

130875431301120 is a wasteful number, since it uses less digits than its factorization.

130875431301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27348 (or 27315 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 130875431301120 its reverse (21103134578031), we get a palindrome (151978565879151).

The spelling of 130875431301120 in words is "one hundred thirty trillion, eight hundred seventy-five billion, four hundred thirty-one million, three hundred one thousand, one hundred twenty".