130311586944 has 1280 divisors, whose sum is σ = 520378214400. Its totient is φ = 31614105600.

The previous prime is 130311586907. The next prime is 130311586957. The reversal of 130311586944 is 449685113031.

130311586944 is a `hidden beast` number, since 1 + 30 + 31 + 1 + 586 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×130311586944² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130311586944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1835374429 + ... + 1835374499.

It is an arithmetic number, because the mean of its divisors is an integer number (406545480).

Almost surely, 2^130311586944 is an apocalyptic number.

130311586944 is a gapful number since it is divisible by the number (14) 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 130311586944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260189107200).

130311586944 is an abundant number, since it is smaller than the sum of its proper divisors (390066627456).

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

130311586944 is an equidigital number, since it uses as much as digits as its factorization.

130311586944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

Adding to 130311586944 its reverse (449685113031), we get a palindrome (579996699975).

The spelling of 130311586944 in words is "one hundred thirty billion, three hundred eleven million, five hundred eighty-six thousand, nine hundred forty-four".