321214212431213 has 2 divisors, whose sum is σ = 321214212431214. Its totient is φ = 321214212431212.

The previous prime is 321214212431197. The next prime is 321214212431239. The reversal of 321214212431213 is 312134212412123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 320710683109609 + 503529321604 = 17908397^2 + 709598^2 .

It is an emirp because it is prime and its reverse (312134212412123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321214212431213 - 2⁴ = 321214212431197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 321214212431213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321214212436213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160607106215606 + 160607106215607.

It is an arithmetic number, because the mean of its divisors is an integer number (160607106215607).

Almost surely, 2^{321214212431213} is an apocalyptic number.

It is an amenable number.

321214212431213 is a deficient number, since it is larger than the sum of its proper divisors (1).

321214212431213 is an equidigital number, since it uses as much as digits as its factorization.

321214212431213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 32.

Adding to 321214212431213 its reverse (312134212412123), we get a palindrome (633348424843336).

The spelling of 321214212431213 in words is "three hundred twenty-one trillion, two hundred fourteen billion, two hundred twelve million, four hundred thirty-one thousand, two hundred thirteen".