131164234042401 has 16 divisors (see below), whose sum is σ = 222077010019200. Its totient is φ = 74950990881264.

The previous prime is 131164234042267. The next prime is 131164234042403. The reversal of 131164234042401 is 104240432461131.

It is a happy number.

131164234042401 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 4 + 2 + 3 + 404 + 240 + 1 = 666.

It is not a de Polignac number, because 131164234042401 - 2¹⁰ = 131164234041377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131164234042403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 346995327966 + ... + 346995328343.

It is an arithmetic number, because the mean of its divisors is an integer number (13879813126200).

Almost surely, 2^{131164234042401} is an apocalyptic number.

It is an amenable number.

131164234042401 is a deficient number, since it is larger than the sum of its proper divisors (90912775976799).

131164234042401 is an equidigital number, since it uses as much as digits as its factorization.

131164234042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693990656325 (or 693990656319 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 131164234042401 in words is "one hundred thirty-one trillion, one hundred sixty-four billion, two hundred thirty-four million, forty-two thousand, four hundred one".