313303222100009 has 2 divisors, whose sum is σ = 313303222100010. Its totient is φ = 313303222100008.

The previous prime is 313303222099993. The next prime is 313303222100027. The reversal of 313303222100009 is 900001222303313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279064375248400 + 34238846851609 = 16705220^2 + 5851397^2 .

It is a cyclic number.

It is not a de Polignac number, because 313303222100009 - 2⁴ = 313303222099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (313303222160009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156651611050004 + 156651611050005.

It is an arithmetic number, because the mean of its divisors is an integer number (156651611050005).

Almost surely, 2^{313303222100009} is an apocalyptic number.

It is an amenable number.

313303222100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

313303222100009 is an equidigital number, since it uses as much as digits as its factorization.

313303222100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 313303222100009 in words is "three hundred thirteen trillion, three hundred three billion, two hundred twenty-two million, one hundred thousand, nine".