131736260410101 has 48 divisors (see below), whose sum is σ = 192348343262400. Its totient is φ = 86873842137600.

The previous prime is 131736260410099. The next prime is 131736260410243. The reversal of 131736260410101 is 101014062637131.

131736260410101 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 3 + 626 + 0 + 4 + 10 + 10 + 1 = 666.

It is not a de Polignac number, because 131736260410101 - 2¹ = 131736260410099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131736260410301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5116554510 + ... + 5116580256.

It is an arithmetic number, because the mean of its divisors is an integer number (4007257151300).

Almost surely, 2^{131736260410101} is an apocalyptic number.

It is an amenable number.

131736260410101 is a deficient number, since it is larger than the sum of its proper divisors (60612082852299).

131736260410101 is a wasteful number, since it uses less digits than its factorization.

131736260410101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30866 (or 30863 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 131736260410101 in words is "one hundred thirty-one trillion, seven hundred thirty-six billion, two hundred sixty million, four hundred ten thousand, one hundred one".