131331431304 has 192 divisors, whose sum is σ = 389188800000. Its totient is φ = 39829063680.

The previous prime is 131331431279. The next prime is 131331431311. The reversal of 131331431304 is 403134133131.

131331431304 is a `hidden beast` number, since 1 + 3 + 13 + 314 + 31 + 304 = 666.

It is a super-2 number, since 2×131331431304² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56876902 + ... + 56879210.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025000).

Almost surely, 2^131331431304 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 131331431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400000).

131331431304 is an abundant number, since it is smaller than the sum of its proper divisors (257857368696).

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

131331431304 is a wasteful number, since it uses less digits than its factorization.

131331431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131331431304 its reverse (403134133131), we get a palindrome (534465564435).

The spelling of 131331431304 in words is "one hundred thirty-one billion, three hundred thirty-one million, four hundred thirty-one thousand, three hundred four".