131101224014241 has 24 divisors (see below), whose sum is σ = 203937527986920. Its totient is φ = 80676770132736.

The previous prime is 131101224014213. The next prime is 131101224014249. The reversal of 131101224014241 is 142410422101131.

131101224014241 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 12 + 2 + 401 + 4 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12923996240016 + 118177227774225 = 3594996^2 + 10870935^2 .

It is not a de Polignac number, because 131101224014241 - 2⁶ = 131101224014177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131101224014249) 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 23 ways as a sum of consecutive naturals, for example, 4243165 + ... + 16739381.

It is an arithmetic number, because the mean of its divisors is an integer number (8497396999455).

Almost surely, 2^{131101224014241} is an apocalyptic number.

It is an amenable number.

131101224014241 is a deficient number, since it is larger than the sum of its proper divisors (72836303972679).

131101224014241 is a wasteful number, since it uses less digits than its factorization.

131101224014241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12585905 (or 12585902 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 131101224014241 its reverse (142410422101131), we get a palindrome (273511646115372).

The spelling of 131101224014241 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred twenty-four million, fourteen thousand, two hundred forty-one".