313323121321121 has 2 divisors, whose sum is σ = 313323121321122. Its totient is φ = 313323121321120.

The previous prime is 313323121321109. The next prime is 313323121321151. The reversal of 313323121321121 is 121123121323313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263032898087521 + 50290223233600 = 16218289^2 + 7091560^2 .

It is a cyclic number.

It is not a de Polignac number, because 313323121321121 - 2¹⁴ = 313323121304737 is a prime.

It is not a weakly prime, because it can be changed into another prime (313323121321151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156661560660560 + 156661560660561.

It is an arithmetic number, because the mean of its divisors is an integer number (156661560660561).

Almost surely, 2^{313323121321121} is an apocalyptic number.

It is an amenable number.

313323121321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313323121321121 is an equidigital number, since it uses as much as digits as its factorization.

313323121321121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 29.

Adding to 313323121321121 its reverse (121123121323313), we get a palindrome (434446242644434).

The spelling of 313323121321121 in words is "three hundred thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty-one".