131147073153601 has 2 divisors, whose sum is σ = 131147073153602. Its totient is φ = 131147073153600.

The previous prime is 131147073153563. The next prime is 131147073153721. The reversal of 131147073153601 is 106351370741131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68032803240000 + 63114269913601 = 8248200^2 + 7944449^2 .

It is a cyclic number.

It is not a de Polignac number, because 131147073153601 - 2³⁷ = 131009634200129 is a prime.

It is not a weakly prime, because it can be changed into another prime (131147073153101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65573536576800 + 65573536576801.

It is an arithmetic number, because the mean of its divisors is an integer number (65573536576801).

Almost surely, 2^{131147073153601} is an apocalyptic number.

It is an amenable number.

131147073153601 is a deficient number, since it is larger than the sum of its proper divisors (1).

131147073153601 is an equidigital number, since it uses as much as digits as its factorization.

131147073153601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 131147073153601 in words is "one hundred thirty-one trillion, one hundred forty-seven billion, seventy-three million, one hundred fifty-three thousand, six hundred one".