212212310221013 has 2 divisors, whose sum is σ = 212212310221014. Its totient is φ = 212212310221012.

The previous prime is 212212310220959. The next prime is 212212310221069. The reversal of 212212310221013 is 310122013212212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177239776538449 + 34972533682564 = 13313143^2 + 5913758^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212310221013 - 2¹⁰ = 212212310219989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212212310221013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212212310221313) 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, 106106155110506 + 106106155110507.

It is an arithmetic number, because the mean of its divisors is an integer number (106106155110507).

Almost surely, 2^{212212310221013} is an apocalyptic number.

It is an amenable number.

212212310221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212310221013 is an equidigital number, since it uses as much as digits as its factorization.

212212310221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 212212310221013 its reverse (310122013212212), we get a palindrome (522334323433225).

The spelling of 212212310221013 in words is "two hundred twelve trillion, two hundred twelve billion, three hundred ten million, two hundred twenty-one thousand, thirteen".