314001460013 has 2 divisors, whose sum is σ = 314001460014. Its totient is φ = 314001460012.

The previous prime is 314001459991. The next prime is 314001460109. The reversal of 314001460013 is 310064100413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 285692388004 + 28309072009 = 534502^2 + 168253^2 .

It is an emirp because it is prime and its reverse (310064100413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314001460013 - 2⁶ = 314001459949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314001465013) 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, 157000730006 + 157000730007.

It is an arithmetic number, because the mean of its divisors is an integer number (157000730007).

Almost surely, 2^314001460013 is an apocalyptic number.

It is an amenable number.

314001460013 is a deficient number, since it is larger than the sum of its proper divisors (1).

314001460013 is an equidigital number, since it uses as much as digits as its factorization.

314001460013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 314001460013 its reverse (310064100413), we get a palindrome (624065560426).

The spelling of 314001460013 in words is "three hundred fourteen billion, one million, four hundred sixty thousand, thirteen".