131009304665248 has 48 divisors (see below), whose sum is σ = 269140801265280. Its totient is φ = 62656130186496.

The previous prime is 131009304665203. The next prime is 131009304665257. The reversal of 131009304665248 is 842566403900131.

It is a junction number, because it is equal to n+sod(n) for n = 131009304665195 and 131009304665204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103203286 + ... + 104465002.

It is an arithmetic number, because the mean of its divisors is an integer number (5607100026360).

Almost surely, 2^{131009304665248} is an apocalyptic number.

It is an amenable number.

131009304665248 is an abundant number, since it is smaller than the sum of its proper divisors (138131496600032).

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

131009304665248 is a wasteful number, since it uses less digits than its factorization.

131009304665248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402829 (or 1402821 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 131009304665248 in words is "one hundred thirty-one trillion, nine billion, three hundred four million, six hundred sixty-five thousand, two hundred forty-eight".