313344002017 has 2 divisors, whose sum is σ = 313344002018. Its totient is φ = 313344002016.

The previous prime is 313344001987. The next prime is 313344002071. The reversal of 313344002017 is 710200443313.

Together with next prime (313344002071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302099732496 + 11244269521 = 549636^2 + 106039^2 .

It is a cyclic number.

It is not a de Polignac number, because 313344002017 - 2⁷ = 313344001889 is a prime.

It is not a weakly prime, because it can be changed into another prime (313344002317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156672001008 + 156672001009.

It is an arithmetic number, because the mean of its divisors is an integer number (156672001009).

Almost surely, 2^313344002017 is an apocalyptic number.

It is an amenable number.

313344002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

313344002017 is an equidigital number, since it uses as much as digits as its factorization.

313344002017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 313344002017 in words is "three hundred thirteen billion, three hundred forty-four million, two thousand, seventeen".