314310013 has 2 divisors, whose sum is σ = 314310014. Its totient is φ = 314310012.

The previous prime is 314310001. The next prime is 314310037. The reversal of 314310013 is 310013413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311275449 + 3034564 = 17643^2 + 1742^2 .

It is an emirp because it is prime and its reverse (310013413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314310013 - 2²¹ = 312212861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314310053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157155006 + 157155007.

It is an arithmetic number, because the mean of its divisors is an integer number (157155007).

Almost surely, 2^314310013 is an apocalyptic number.

It is an amenable number.

314310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

314310013 is an equidigital number, since it uses as much as digits as its factorization.

314310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 314310013 is about 17728.7905114816. The cubic root of 314310013 is about 679.9120510534.

Adding to 314310013 its reverse (310013413), we get a palindrome (624323426).

The spelling of 314310013 in words is "three hundred fourteen million, three hundred ten thousand, thirteen".