131295805830 has 96 divisors (see below), whose sum is σ = 410669625600. Its totient is φ = 28430968896.

The previous prime is 131295805829. The next prime is 131295805843. The reversal of 131295805830 is 38508592131.

131295805830 is a `hidden beast` number, since 1 + 3 + 12 + 9 + 58 + 0 + 583 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5472400 + ... + 5496339.

It is an arithmetic number, because the mean of its divisors is an integer number (4277808600).

Almost surely, 2^131295805830 is an apocalyptic number.

131295805830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131295805830 is an abundant number, since it is smaller than the sum of its proper divisors (279373819770).

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

131295805830 is a wasteful number, since it uses less digits than its factorization.

131295805830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968778 (or 10968775 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 131295805830 in words is "one hundred thirty-one billion, two hundred ninety-five million, eight hundred five thousand, eight hundred thirty".