131409431761 has 2 divisors, whose sum is σ = 131409431762. Its totient is φ = 131409431760.

The previous prime is 131409431729. The next prime is 131409431789. The reversal of 131409431761 is 167134904131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130523238400 + 886193361 = 361280^2 + 29769^2 .

It is a cyclic number.

It is not a de Polignac number, because 131409431761 - 2⁵ = 131409431729 is a prime.

It is a super-2 number, since 2×131409431761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131409431711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65704715880 + 65704715881.

It is an arithmetic number, because the mean of its divisors is an integer number (65704715881).

Almost surely, 2^131409431761 is an apocalyptic number.

It is an amenable number.

131409431761 is a deficient number, since it is larger than the sum of its proper divisors (1).

131409431761 is an equidigital number, since it uses as much as digits as its factorization.

131409431761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 131409431761 in words is "one hundred thirty-one billion, four hundred nine million, four hundred thirty-one thousand, seven hundred sixty-one".