1310313022121 has 2 divisors, whose sum is σ = 1310313022122. Its totient is φ = 1310313022120.

The previous prime is 1310313022097. The next prime is 1310313022127. The reversal of 1310313022121 is 1212203130131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1282927736896 + 27385285225 = 1132664^2 + 165485^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310313022121 - 2³⁸ = 1035435115177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310313022093 and 1310313022102.

It is not a weakly prime, because it can be changed into another prime (1310313022127) 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, 655156511060 + 655156511061.

It is an arithmetic number, because the mean of its divisors is an integer number (655156511061).

Almost surely, 2^{1310313022121} is an apocalyptic number.

It is an amenable number.

1310313022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310313022121 is an equidigital number, since it uses as much as digits as its factorization.

1310313022121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1310313022121 its reverse (1212203130131), we get a palindrome (2522516152252).

The spelling of 1310313022121 in words is "one trillion, three hundred ten billion, three hundred thirteen million, twenty-two thousand, one hundred twenty-one".