313311023100209 has 2 divisors, whose sum is σ = 313311023100210. Its totient is φ = 313311023100208.

The previous prime is 313311023100199. The next prime is 313311023100319. The reversal of 313311023100209 is 902001320113313.

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., 254158619176609 + 59152403923600 = 15942353^2 + 7691060^2 .

It is a cyclic number.

It is not a de Polignac number, because 313311023100209 - 2⁴ = 313311023100193 is a prime.

It is not a weakly prime, because it can be changed into another prime (313311023100109) 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, 156655511550104 + 156655511550105.

It is an arithmetic number, because the mean of its divisors is an integer number (156655511550105).

Almost surely, 2^{313311023100209} is an apocalyptic number.

It is an amenable number.

313311023100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

313311023100209 is an equidigital number, since it uses as much as digits as its factorization.

313311023100209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 313311023100209 in words is "three hundred thirteen trillion, three hundred eleven billion, twenty-three million, one hundred thousand, two hundred nine".