314243413013 has 2 divisors, whose sum is σ = 314243413014. Its totient is φ = 314243413012.

The previous prime is 314243412971. The next prime is 314243413063. The reversal of 314243413013 is 310314342413.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286822371364 + 27421041649 = 535558^2 + 165593^2 .

It is a cyclic number.

It is not a de Polignac number, because 314243413013 - 2¹⁶ = 314243347477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314243413063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157121706506 + 157121706507.

It is an arithmetic number, because the mean of its divisors is an integer number (157121706507).

Almost surely, 2^314243413013 is an apocalyptic number.

It is an amenable number.

314243413013 is a deficient number, since it is larger than the sum of its proper divisors (1).

314243413013 is an equidigital number, since it uses as much as digits as its factorization.

314243413013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 314243413013 its reverse (310314342413), we get a palindrome (624557755426).

The spelling of 314243413013 in words is "three hundred fourteen billion, two hundred forty-three million, four hundred thirteen thousand, thirteen".