313044124201349 has 2 divisors, whose sum is σ = 313044124201350. Its totient is φ = 313044124201348.

The previous prime is 313044124201283. The next prime is 313044124201357. The reversal of 313044124201349 is 943102421440313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303266307898849 + 9777816302500 = 17414543^2 + 3126950^2 .

It is an emirp because it is prime and its reverse (943102421440313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313044124201349 - 2²⁴ = 313044107424133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313044124201649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156522062100674 + 156522062100675.

It is an arithmetic number, because the mean of its divisors is an integer number (156522062100675).

Almost surely, 2^{313044124201349} is an apocalyptic number.

It is an amenable number.

313044124201349 is a deficient number, since it is larger than the sum of its proper divisors (1).

313044124201349 is an equidigital number, since it uses as much as digits as its factorization.

313044124201349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 313044124201349 in words is "three hundred thirteen trillion, forty-four billion, one hundred twenty-four million, two hundred one thousand, three hundred forty-nine".