213222312123013 has 2 divisors, whose sum is σ = 213222312123014. Its totient is φ = 213222312123012.

The previous prime is 213222312123001. The next prime is 213222312123047. The reversal of 213222312123013 is 310321213222312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200571251133124 + 12651060989889 = 14162318^2 + 3556833^2 .

It is a cyclic number.

It is not a de Polignac number, because 213222312123013 - 2²⁵ = 213222278568581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213222312123913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106611156061506 + 106611156061507.

It is an arithmetic number, because the mean of its divisors is an integer number (106611156061507).

Almost surely, 2^{213222312123013} is an apocalyptic number.

It is an amenable number.

213222312123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213222312123013 is an equidigital number, since it uses as much as digits as its factorization.

213222312123013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 213222312123013 its reverse (310321213222312), we get a palindrome (523543525345325).

The spelling of 213222312123013 in words is "two hundred thirteen trillion, two hundred twenty-two billion, three hundred twelve million, one hundred twenty-three thousand, thirteen".