313014242410313 has 2 divisors, whose sum is σ = 313014242410314. Its totient is φ = 313014242410312.

The previous prime is 313014242410283. The next prime is 313014242410339.

313014242410313 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., 261649614794569 + 51364627615744 = 16175587^2 + 7166912^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313014242410313 - 2²⁰ = 313014241361737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313014242410313.

It is not a weakly prime, because it can be changed into another prime (313014242410343) 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, 156507121205156 + 156507121205157.

It is an arithmetic number, because the mean of its divisors is an integer number (156507121205157).

Almost surely, 2^{313014242410313} is an apocalyptic number.

It is an amenable number.

313014242410313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313014242410313 is an equidigital number, since it uses as much as digits as its factorization.

313014242410313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 313014242410313 in words is "three hundred thirteen trillion, fourteen billion, two hundred forty-two million, four hundred ten thousand, three hundred thirteen".