313301323121 has 2 divisors, whose sum is σ = 313301323122. Its totient is φ = 313301323120.

The previous prime is 313301323057. The next prime is 313301323123. The reversal of 313301323121 is 121323103313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270384400225 + 42916922896 = 519985^2 + 207164^2 .

It is a cyclic number.

It is not a de Polignac number, because 313301323121 - 2⁶ = 313301323057 is a prime.

Together with 313301323123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313301323123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156650661560 + 156650661561.

It is an arithmetic number, because the mean of its divisors is an integer number (156650661561).

Almost surely, 2^313301323121 is an apocalyptic number.

It is an amenable number.

313301323121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313301323121 is an equidigital number, since it uses as much as digits as its factorization.

313301323121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 313301323121 its reverse (121323103313), we get a palindrome (434624426434).

The spelling of 313301323121 in words is "three hundred thirteen billion, three hundred one million, three hundred twenty-three thousand, one hundred twenty-one".