131031331133301 has 12 divisors (see below), whose sum is σ = 189754027096140. Its totient is φ = 87129659774400.

The previous prime is 131031331133207. The next prime is 131031331133333. The reversal of 131031331133301 is 103331133130131.

131031331133301 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 13 + 311 + 3 + 330 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28488852875025 + 102542478258276 = 5337495^2 + 10126326^2 .

It is not a de Polignac number, because 131031331133301 - 2³⁹ = 130481575319413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031331133371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18713411400 + ... + 18713418401.

It is an arithmetic number, because the mean of its divisors is an integer number (15812835591345).

Almost surely, 2^{131031331133301} is an apocalyptic number.

It is an amenable number.

131031331133301 is a deficient number, since it is larger than the sum of its proper divisors (58722695962839).

131031331133301 is a wasteful number, since it uses less digits than its factorization.

131031331133301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37426830196 (or 37426830193 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 131031331133301 its reverse (103331133130131), we get a palindrome (234362464263432).

The spelling of 131031331133301 in words is "one hundred thirty-one trillion, thirty-one billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred one".