131533202055105 has 16 divisors (see below), whose sum is σ = 233836803653760. Its totient is φ = 70151041095984.

The previous prime is 131533202055067. The next prime is 131533202055119. The reversal of 131533202055105 is 501550202335131.

131533202055105 is a `hidden beast` number, since 1 + 3 + 1 + 53 + 32 + 0 + 20 + 551 + 0 + 5 = 666.

It is not a de Polignac number, because 131533202055105 - 2¹⁰ = 131533202054081 is a prime.

It is a super-2 number, since 2×131533202055105² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131533202055105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487160007477 + ... + 487160007746.

It is an arithmetic number, because the mean of its divisors is an integer number (14614800228360).

Almost surely, 2^{131533202055105} is an apocalyptic number.

131533202055105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131533202055105 is a deficient number, since it is larger than the sum of its proper divisors (102303601598655).

131533202055105 is an equidigital number, since it uses as much as digits as its factorization.

131533202055105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974320015237 (or 974320015231 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 131533202055105 in words is "one hundred thirty-one trillion, five hundred thirty-three billion, two hundred two million, fifty-five thousand, one hundred five".