131411564541 has 32 divisors (see below), whose sum is σ = 197822736000. Its totient is φ = 86206187520.

The previous prime is 131411564519. The next prime is 131411564549. The reversal of 131411564541 is 145465114131.

131411564541 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 1 + 5 + 645 + 4 + 1 = 666.

It is not a de Polignac number, because 131411564541 - 2¹⁴ = 131411548157 is a prime.

It is a super-2 number, since 2×131411564541² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131411564496 and 131411564505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131411564549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277821 + ... + 583101.

It is an arithmetic number, because the mean of its divisors is an integer number (6181960500).

Almost surely, 2^131411564541 is an apocalyptic number.

It is an amenable number.

131411564541 is a deficient number, since it is larger than the sum of its proper divisors (66411171459).

131411564541 is a wasteful number, since it uses less digits than its factorization.

131411564541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305546 (or 305540 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 131411564541 its reverse (145465114131), we get a palindrome (276876678672).

The spelling of 131411564541 in words is "one hundred thirty-one billion, four hundred eleven million, five hundred sixty-four thousand, five hundred forty-one".