313044333400009 has 2 divisors, whose sum is σ = 313044333400010. Its totient is φ = 313044333400008.

The previous prime is 313044333399937. The next prime is 313044333400021. The reversal of 313044333400009 is 900004333440313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173327678167609 + 139716655232400 = 13165397^2 + 11820180^2 .

It is a cyclic number.

It is not a de Polignac number, because 313044333400009 - 2²³ = 313044325011401 is a prime.

It is not a weakly prime, because it can be changed into another prime (313044333400709) 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, 156522166700004 + 156522166700005.

It is an arithmetic number, because the mean of its divisors is an integer number (156522166700005).

Almost surely, 2^{313044333400009} is an apocalyptic number.

It is an amenable number.

313044333400009 is a deficient number, since it is larger than the sum of its proper divisors (1).

313044333400009 is an equidigital number, since it uses as much as digits as its factorization.

313044333400009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 37.

The spelling of 313044333400009 in words is "three hundred thirteen trillion, forty-four billion, three hundred thirty-three million, four hundred thousand, nine".