311430000000013 has 2 divisors, whose sum is σ = 311430000000014. Its totient is φ = 311430000000012.

The previous prime is 311429999999971. The next prime is 311430000000061. The reversal of 311430000000013 is 310000000034113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 277563163691529 + 33866836308484 = 16660227^2 + 5819522^2 .

It is an emirp because it is prime and its reverse (310000000034113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311430000000013 - 2²⁹ = 311429463129101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311430000000113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155715000000006 + 155715000000007.

It is an arithmetic number, because the mean of its divisors is an integer number (155715000000007).

Almost surely, 2^{311430000000013} is an apocalyptic number.

It is an amenable number.

311430000000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311430000000013 is an equidigital number, since it uses as much as digits as its factorization.

311430000000013 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.

Adding to 311430000000013 its reverse (310000000034113), we get a palindrome (621430000034126).

The spelling of 311430000000013 in words is "three hundred eleven trillion, four hundred thirty billion, thirteen", and thus it is an aban number.