131213795328 has 672 divisors, whose sum is σ = 489476856960. Its totient is φ = 32864993280.

The previous prime is 131213795327. The next prime is 131213795353. The reversal of 131213795328 is 823597312131.

131213795328 is a `hidden beast` number, since 1 + 31 + 2 + 13 + 79 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (131213795327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164634226 + ... + 164635022.

It is an arithmetic number, because the mean of its divisors is an integer number (728388180).

Almost surely, 2^131213795328 is an apocalyptic number.

131213795328 is a gapful number since it is divisible by the number (18) 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 131213795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244738428480).

131213795328 is an abundant number, since it is smaller than the sum of its proper divisors (358263061632).

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

131213795328 is a wasteful number, since it uses less digits than its factorization.

131213795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 849 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 131213795328 in words is "one hundred thirty-one billion, two hundred thirteen million, seven hundred ninety-five thousand, three hundred twenty-eight".