130579505931000 has 256 divisors, whose sum is σ = 466214740992000. Its totient is φ = 29807928115200.

The previous prime is 130579505930957. The next prime is 130579505931013. The reversal of 130579505931000 is 139505975031.

It is a super-2 number, since 2×130579505931000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12106041 + ... + 20191959.

It is an arithmetic number, because the mean of its divisors is an integer number (1821151332000).

Almost surely, 2^{130579505931000} is an apocalyptic number.

130579505931000 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 130579505931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233107370496000).

130579505931000 is an abundant number, since it is smaller than the sum of its proper divisors (335635235061000).

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

130579505931000 is a wasteful number, since it uses less digits than its factorization.

130579505931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8086719 (or 8086705 counting only the distinct ones).

The product of its (nonzero) digits is 637875, while the sum is 48.

The spelling of 130579505931000 in words is "one hundred thirty trillion, five hundred seventy-nine billion, five hundred five million, nine hundred thirty-one thousand".