314001304204013 has 2 divisors, whose sum is σ = 314001304204014. Its totient is φ = 314001304204012.

The previous prime is 314001304203989. The next prime is 314001304204019. The reversal of 314001304204013 is 310402403100413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314001164326084 + 139877929 = 17720078^2 + 11827^2 .

It is a cyclic number.

It is not a de Polignac number, because 314001304204013 - 2¹⁴ = 314001304187629 is a prime.

It is a super-2 number, since 2×314001304204013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314001304204019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157000652102006 + 157000652102007.

It is an arithmetic number, because the mean of its divisors is an integer number (157000652102007).

Almost surely, 2^{314001304204013} is an apocalyptic number.

It is an amenable number.

314001304204013 is a deficient number, since it is larger than the sum of its proper divisors (1).

314001304204013 is an equidigital number, since it uses as much as digits as its factorization.

314001304204013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 314001304204013 its reverse (310402403100413), we get a palindrome (624403707304426).

The spelling of 314001304204013 in words is "three hundred fourteen trillion, one billion, three hundred four million, two hundred four thousand, thirteen".