1312353022241 has 2 divisors, whose sum is σ = 1312353022242. Its totient is φ = 1312353022240.

The previous prime is 1312353022207. The next prime is 1312353022273. The reversal of 1312353022241 is 1422203532131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 948598081600 + 363754940641 = 973960^2 + 603121^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312353022241 - 2³⁰ = 1311279280417 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1312353022441) 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, 656176511120 + 656176511121.

It is an arithmetic number, because the mean of its divisors is an integer number (656176511121).

Almost surely, 2^{1312353022241} is an apocalyptic number.

It is an amenable number.

1312353022241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312353022241 is an equidigital number, since it uses as much as digits as its factorization.

1312353022241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 1312353022241 its reverse (1422203532131), we get a palindrome (2734556554372).

The spelling of 1312353022241 in words is "one trillion, three hundred twelve billion, three hundred fifty-three million, twenty-two thousand, two hundred forty-one".