313243012013 has 2 divisors, whose sum is σ = 313243012014. Its totient is φ = 313243012012.

The previous prime is 313243012007. The next prime is 313243012057. The reversal of 313243012013 is 310210342313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258945623689 + 54297388324 = 508867^2 + 233018^2 .

It is an emirp because it is prime and its reverse (310210342313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313243012013 - 2¹⁰ = 313243010989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313243012013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313243012063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156621506006 + 156621506007.

It is an arithmetic number, because the mean of its divisors is an integer number (156621506007).

Almost surely, 2^313243012013 is an apocalyptic number.

It is an amenable number.

313243012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313243012013 is an equidigital number, since it uses as much as digits as its factorization.

313243012013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 313243012013 its reverse (310210342313), we get a palindrome (623453354326).

The spelling of 313243012013 in words is "three hundred thirteen billion, two hundred forty-three million, twelve thousand, thirteen".