131262353541 has 48 divisors (see below), whose sum is σ = 209560815360. Its totient is φ = 78506588160.

The previous prime is 131262353501. The next prime is 131262353561. The reversal of 131262353541 is 145353262131.

131262353541 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 62 + 3 + 53 + 541 = 666.

It is not a de Polignac number, because 131262353541 - 2²² = 131258159237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131262353496 and 131262353505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131262353501) 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, 25470421 + ... + 25475573.

It is an arithmetic number, because the mean of its divisors is an integer number (4365850320).

Almost surely, 2^131262353541 is an apocalyptic number.

131262353541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131262353541 is a deficient number, since it is larger than the sum of its proper divisors (78298461819).

131262353541 is a wasteful number, since it uses less digits than its factorization.

131262353541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 8503 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 131262353541 in words is "one hundred thirty-one billion, two hundred sixty-two million, three hundred fifty-three thousand, five hundred forty-one".