212224304003213 has 2 divisors, whose sum is σ = 212224304003214. Its totient is φ = 212224304003212.

The previous prime is 212224304003177. The next prime is 212224304003249. The reversal of 212224304003213 is 312300403422212.

It is a balanced prime because it is at equal distance from previous prime (212224304003177) and next prime (212224304003249).

It can be written as a sum of positive squares in only one way, i.e., 151766556893449 + 60457747109764 = 12319357^2 + 7775458^2 .

It is a cyclic number.

It is not a de Polignac number, because 212224304003213 - 2¹⁶ = 212224303937677 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212224304003263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106112152001606 + 106112152001607.

It is an arithmetic number, because the mean of its divisors is an integer number (106112152001607).

Almost surely, 2^{212224304003213} is an apocalyptic number.

It is an amenable number.

212224304003213 is a deficient number, since it is larger than the sum of its proper divisors (1).

212224304003213 is an equidigital number, since it uses as much as digits as its factorization.

212224304003213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 212224304003213 its reverse (312300403422212), we get a palindrome (524524707425425).

The spelling of 212224304003213 in words is "two hundred twelve trillion, two hundred twenty-four billion, three hundred four million, three thousand, two hundred thirteen".