1312123120081 has 2 divisors, whose sum is σ = 1312123120082. Its totient is φ = 1312123120080.

The previous prime is 1312123120069. The next prime is 1312123120177. The reversal of 1312123120081 is 1800213212131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 801041110081 + 511082010000 = 895009^2 + 714900^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312123120081 - 2⁷ = 1312123119953 is a prime.

It is a super-2 number, since 2×1312123120081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1312120120081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656061560040 + 656061560041.

It is an arithmetic number, because the mean of its divisors is an integer number (656061560041).

Almost surely, 2^{1312123120081} is an apocalyptic number.

It is an amenable number.

1312123120081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312123120081 is an equidigital number, since it uses as much as digits as its factorization.

1312123120081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 1312123120081 in words is "one trillion, three hundred twelve billion, one hundred twenty-three million, one hundred twenty thousand, eighty-one".