1310331123121 has 2 divisors, whose sum is σ = 1310331123122. Its totient is φ = 1310331123120.

The previous prime is 1310331123071. The next prime is 1310331123139. The reversal of 1310331123121 is 1213211330131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1300879394721 + 9451728400 = 1140561^2 + 97220^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310331123121 - 2²¹ = 1310329025969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310331123092 and 1310331123101.

It is not a weakly prime, because it can be changed into another prime (1310331123721) 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, 655165561560 + 655165561561.

It is an arithmetic number, because the mean of its divisors is an integer number (655165561561).

Almost surely, 2^{1310331123121} is an apocalyptic number.

It is an amenable number.

1310331123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310331123121 is an equidigital number, since it uses as much as digits as its factorization.

1310331123121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1310331123121 its reverse (1213211330131), we get a palindrome (2523542453252).

The spelling of 1310331123121 in words is "one trillion, three hundred ten billion, three hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty-one".