131153320315305 has 96 divisors (see below), whose sum is σ = 238337521373952. Its totient is φ = 66642853939200.

The previous prime is 131153320315267. The next prime is 131153320315319. The reversal of 131153320315305 is 503513023351131.

131153320315305 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 3 + 32 + 0 + 315 + 305 = 666.

It is not a de Polignac number, because 131153320315305 - 2³² = 131149025348009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131153320315305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430716189 + ... + 431020581.

It is an arithmetic number, because the mean of its divisors is an integer number (2482682514312).

Almost surely, 2^{131153320315305} is an apocalyptic number.

131153320315305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131153320315305 is a deficient number, since it is larger than the sum of its proper divisors (107184201058647).

131153320315305 is a wasteful number, since it uses less digits than its factorization.

131153320315305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309919 (or 309916 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

Adding to 131153320315305 its reverse (503513023351131), we get a palindrome (634666343666436).

The spelling of 131153320315305 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, three hundred twenty million, three hundred fifteen thousand, three hundred five".