31204443300013 has 2 divisors, whose sum is σ = 31204443300014. Its totient is φ = 31204443300012.

The previous prime is 31204443299999. The next prime is 31204443300067. The reversal of 31204443300013 is 31000334440213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16567529324329 + 14636913975684 = 4070323^2 + 3825822^2 .

It is an emirp because it is prime and its reverse (31000334440213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31204443300013 - 2⁹ = 31204443299501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31204443300113) 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, 15602221650006 + 15602221650007.

It is an arithmetic number, because the mean of its divisors is an integer number (15602221650007).

Almost surely, 2^{31204443300013} is an apocalyptic number.

It is an amenable number.

31204443300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31204443300013 is an equidigital number, since it uses as much as digits as its factorization.

31204443300013 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 28.

Adding to 31204443300013 its reverse (31000334440213), we get a palindrome (62204777740226).

The spelling of 31204443300013 in words is "thirty-one trillion, two hundred four billion, four hundred forty-three million, three hundred thousand, thirteen".