13213313050213 has 2 divisors, whose sum is σ = 13213313050214. Its totient is φ = 13213313050212.

The previous prime is 13213313050211. The next prime is 13213313050283. The reversal of 13213313050213 is 31205031331231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12685122777924 + 528190272289 = 3561618^2 + 726767^2 .

It is an emirp because it is prime and its reverse (31205031331231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13213313050213 - 2¹ = 13213313050211 is a prime.

Together with 13213313050211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13213313050211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606656525106 + 6606656525107.

It is an arithmetic number, because the mean of its divisors is an integer number (6606656525107).

Almost surely, 2^{13213313050213} is an apocalyptic number.

It is an amenable number.

13213313050213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213313050213 is an equidigital number, since it uses as much as digits as its factorization.

13213313050213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 13213313050213 its reverse (31205031331231), we get a palindrome (44418344381444).

The spelling of 13213313050213 in words is "thirteen trillion, two hundred thirteen billion, three hundred thirteen million, fifty thousand, two hundred thirteen".