131999047944345 has 12 divisors (see below), whose sum is σ = 228798349770276. Its totient is φ = 70399492236960.

The previous prime is 131999047944319. The next prime is 131999047944371. The reversal of 131999047944345 is 543449740999131.

131999047944345 is a `hidden beast` number, since 1 + 3 + 1 + 99 + 90 + 4 + 7 + 9 + 443 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (131999047944319) and next prime (131999047944371).

It can be written as a sum of positive squares in 2 ways, for example, as 24902814633984 + 107096233310361 = 4990272^2 + 10348731^2 .

It is not a de Polignac number, because 131999047944345 - 2⁷ = 131999047944217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1466656088226 + ... + 1466656088315.

It is an arithmetic number, because the mean of its divisors is an integer number (19066529147523).

Almost surely, 2^{131999047944345} is an apocalyptic number.

131999047944345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131999047944345 is a deficient number, since it is larger than the sum of its proper divisors (96799301825931).

131999047944345 is a wasteful number, since it uses less digits than its factorization.

131999047944345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933312176552 (or 2933312176549 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 131999047944345 in words is "one hundred thirty-one trillion, nine hundred ninety-nine billion, forty-seven million, nine hundred forty-four thousand, three hundred forty-five".