212313210022013 has 2 divisors, whose sum is σ = 212313210022014. Its totient is φ = 212313210022012.

The previous prime is 212313210021953. The next prime is 212313210022079. The reversal of 212313210022013 is 310220012313212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122113704957049 + 90199505064964 = 11050507^2 + 9497342^2 .

It is a cyclic number.

It is not a de Polignac number, because 212313210022013 - 2¹² = 212313210017917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212313210022013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212313210022313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156605011006 + 106156605011007.

It is an arithmetic number, because the mean of its divisors is an integer number (106156605011007).

Almost surely, 2^{212313210022013} is an apocalyptic number.

It is an amenable number.

212313210022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212313210022013 is an equidigital number, since it uses as much as digits as its factorization.

212313210022013 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 212313210022013 its reverse (310220012313212), we get a palindrome (522533222335225).

The spelling of 212313210022013 in words is "two hundred twelve trillion, three hundred thirteen billion, two hundred ten million, twenty-two thousand, thirteen".