131343099264 has 320 divisors, whose sum is σ = 424312035840. Its totient is φ = 40089821184.

The previous prime is 131343099247. The next prime is 131343099287. The reversal of 131343099264 is 462990343131.

It is a happy number.

131343099264 is a `hidden beast` number, since 1 + 313 + 4 + 309 + 9 + 26 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17113732 + ... + 17121404.

It is an arithmetic number, because the mean of its divisors is an integer number (1325975112).

Almost surely, 2^131343099264 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 131343099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212156017920).

131343099264 is an abundant number, since it is smaller than the sum of its proper divisors (292968936576).

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

131343099264 is a wasteful number, since it uses less digits than its factorization.

131343099264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 131343099264 in words is "one hundred thirty-one billion, three hundred forty-three million, ninety-nine thousand, two hundred sixty-four".