131010744776167 has 2 divisors, whose sum is σ = 131010744776168. Its totient is φ = 131010744776166.

The previous prime is 131010744776077. The next prime is 131010744776173. The reversal of 131010744776167 is 761677447010131.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (761677447010131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131010744776167 - 2³⁹ = 130460988962279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131010744776767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65505372388083 + 65505372388084.

It is an arithmetic number, because the mean of its divisors is an integer number (65505372388084).

Almost surely, 2^{131010744776167} is an apocalyptic number.

131010744776167 is a deficient number, since it is larger than the sum of its proper divisors (1).

131010744776167 is an equidigital number, since it uses as much as digits as its factorization.

131010744776167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4148928, while the sum is 55.

The spelling of 131010744776167 in words is "one hundred thirty-one trillion, ten billion, seven hundred forty-four million, seven hundred seventy-six thousand, one hundred sixty-seven".