313311001100017 has 2 divisors, whose sum is σ = 313311001100018. Its totient is φ = 313311001100016.

The previous prime is 313311001099981. The next prime is 313311001100023. The reversal of 313311001100017 is 710001100113313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179963727483136 + 133347273616881 = 13415056^2 + 11547609^2 .

It is a cyclic number.

It is not a de Polignac number, because 313311001100017 - 2³⁹ = 312761245286129 is a prime.

It is not a weakly prime, because it can be changed into another prime (313311001100047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156655500550008 + 156655500550009.

It is an arithmetic number, because the mean of its divisors is an integer number (156655500550009).

Almost surely, 2^{313311001100017} is an apocalyptic number.

It is an amenable number.

313311001100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

313311001100017 is an equidigital number, since it uses as much as digits as its factorization.

313311001100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

The spelling of 313311001100017 in words is "three hundred thirteen trillion, three hundred eleven billion, one million, one hundred thousand, seventeen".