313002040200313 has 2 divisors, whose sum is σ = 313002040200314. Its totient is φ = 313002040200312.

The previous prime is 313002040200173. The next prime is 313002040200337.

313002040200313 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237725732579449 + 75276307620864 = 15418357^2 + 8676192^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313002040200313 - 2⁹ = 313002040199801 is a prime.

It is not a weakly prime, because it can be changed into another prime (313002040500313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156501020100156 + 156501020100157.

It is an arithmetic number, because the mean of its divisors is an integer number (156501020100157).

Almost surely, 2^{313002040200313} is an apocalyptic number.

It is an amenable number.

313002040200313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313002040200313 is an equidigital number, since it uses as much as digits as its factorization.

313002040200313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

The spelling of 313002040200313 in words is "three hundred thirteen trillion, two billion, forty million, two hundred thousand, three hundred thirteen".