313303213121 has 2 divisors, whose sum is σ = 313303213122. Its totient is φ = 313303213120.

The previous prime is 313303213099. The next prime is 313303213127. The reversal of 313303213121 is 121312303313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301576705600 + 11726507521 = 549160^2 + 108289^2 .

It is a cyclic number.

It is not a de Polignac number, because 313303213121 - 2⁶ = 313303213057 is a prime.

It is not a weakly prime, because it can be changed into another prime (313303213127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156651606560 + 156651606561.

It is an arithmetic number, because the mean of its divisors is an integer number (156651606561).

Almost surely, 2^313303213121 is an apocalyptic number.

It is an amenable number.

313303213121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313303213121 is an equidigital number, since it uses as much as digits as its factorization.

313303213121 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 313303213121 its reverse (121312303313), we get a palindrome (434615516434).

The spelling of 313303213121 in words is "three hundred thirteen billion, three hundred three million, two hundred thirteen thousand, one hundred twenty-one".