313022002121 has 2 divisors, whose sum is σ = 313022002122. Its totient is φ = 313022002120.

The previous prime is 313022002067. The next prime is 313022002129. The reversal of 313022002121 is 121200220313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249435319225 + 63586682896 = 499435^2 + 252164^2 .

It is a cyclic number.

It is not a de Polignac number, because 313022002121 - 2¹⁸ = 313021739977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313022002121.

It is not a weakly prime, because it can be changed into another prime (313022002129) 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, 156511001060 + 156511001061.

It is an arithmetic number, because the mean of its divisors is an integer number (156511001061).

Almost surely, 2^313022002121 is an apocalyptic number.

It is an amenable number.

313022002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313022002121 is an equidigital number, since it uses as much as digits as its factorization.

313022002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 313022002121 its reverse (121200220313), we get a palindrome (434222222434).

The spelling of 313022002121 in words is "three hundred thirteen billion, twenty-two million, two thousand, one hundred twenty-one".