313021227121 has 2 divisors, whose sum is σ = 313021227122. Its totient is φ = 313021227120.

The previous prime is 313021227073. The next prime is 313021227139. The reversal of 313021227121 is 121722120313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198987366400 + 114033860721 = 446080^2 + 337689^2 .

It is an emirp because it is prime and its reverse (121722120313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313021227121 - 2¹³ = 313021218929 is a prime.

It is not a weakly prime, because it can be changed into another prime (313021227161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156510613560 + 156510613561.

It is an arithmetic number, because the mean of its divisors is an integer number (156510613561).

Almost surely, 2^313021227121 is an apocalyptic number.

It is an amenable number.

313021227121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313021227121 is an equidigital number, since it uses as much as digits as its factorization.

313021227121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 313021227121 its reverse (121722120313), we get a palindrome (434743347434).

The spelling of 313021227121 in words is "three hundred thirteen billion, twenty-one million, two hundred twenty-seven thousand, one hundred twenty-one".