1312122123197 has 2 divisors, whose sum is σ = 1312122123198. Its totient is φ = 1312122123196.

The previous prime is 1312122123187. The next prime is 1312122123203. The reversal of 1312122123197 is 7913212212131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1172529471556 + 139592651641 = 1082834^2 + 373621^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312122123197 - 2⁴ = 1312122123181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312122123187) 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, 656061061598 + 656061061599.

It is an arithmetic number, because the mean of its divisors is an integer number (656061061599).

Almost surely, 2^{1312122123197} is an apocalyptic number.

It is an amenable number.

1312122123197 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312122123197 is an equidigital number, since it uses as much as digits as its factorization.

1312122123197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 35.

The spelling of 1312122123197 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred ninety-seven".