131304426624 has 960 divisors, whose sum is σ = 488506233600. Its totient is φ = 34801643520.

The previous prime is 131304426607. The next prime is 131304426653. The reversal of 131304426624 is 426624403131.

131304426624 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 4 + 4 + 26 + 624 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 588808977 + ... + 588809199.

It is an arithmetic number, because the mean of its divisors is an integer number (508860660).

Almost surely, 2^131304426624 is an apocalyptic number.

131304426624 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 131304426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244253116800).

131304426624 is an abundant number, since it is smaller than the sum of its proper divisors (357201806976).

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

131304426624 is a wasteful number, since it uses less digits than its factorization.

131304426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131304426624 its reverse (426624403131), we get a palindrome (557928829755).

The spelling of 131304426624 in words is "one hundred thirty-one billion, three hundred four million, four hundred twenty-six thousand, six hundred twenty-four".