313442321314009 has 2 divisors, whose sum is σ = 313442321314010. Its totient is φ = 313442321314008.

The previous prime is 313442321313997. The next prime is 313442321314069. The reversal of 313442321314009 is 900413123244313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295115120577225 + 18327200736784 = 17178915^2 + 4281028^2 .

It is a cyclic number.

It is not a de Polignac number, because 313442321314009 - 2²⁵ = 313442287759577 is a prime.

It is a super-3 number, since 3×313442321314009³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (313442321314069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156721160657004 + 156721160657005.

It is an arithmetic number, because the mean of its divisors is an integer number (156721160657005).

Almost surely, 2^{313442321314009} is an apocalyptic number.

It is an amenable number.

313442321314009 is a deficient number, since it is larger than the sum of its proper divisors (1).

313442321314009 is an equidigital number, since it uses as much as digits as its factorization.

313442321314009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 313442321314009 in words is "three hundred thirteen trillion, four hundred forty-two billion, three hundred twenty-one million, three hundred fourteen thousand, nine".