313306420121 has 2 divisors, whose sum is σ = 313306420122. Its totient is φ = 313306420120.

The previous prime is 313306420093. The next prime is 313306420177. The reversal of 313306420121 is 121024603313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306543824896 + 6762595225 = 553664^2 + 82235^2 .

It is a cyclic number.

It is not a de Polignac number, because 313306420121 - 2⁶ = 313306420057 is a prime.

It is a super-3 number, since 3×313306420121³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (313306420321) 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, 156653210060 + 156653210061.

It is an arithmetic number, because the mean of its divisors is an integer number (156653210061).

Almost surely, 2^313306420121 is an apocalyptic number.

It is an amenable number.

313306420121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313306420121 is an equidigital number, since it uses as much as digits as its factorization.

313306420121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 313306420121 in words is "three hundred thirteen billion, three hundred six million, four hundred twenty thousand, one hundred twenty-one".