205321013213 has 2 divisors, whose sum is σ = 205321013214. Its totient is φ = 205321013212.

The previous prime is 205321013081. The next prime is 205321013243. The reversal of 205321013213 is 312310123502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205003389529 + 317623684 = 452773^2 + 17822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205321013213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205321013243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102660506606 + 102660506607.

It is an arithmetic number, because the mean of its divisors is an integer number (102660506607).

Almost surely, 2^205321013213 is an apocalyptic number.

It is an amenable number.

205321013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

205321013213 is an equidigital number, since it uses as much as digits as its factorization.

205321013213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 205321013213 its reverse (312310123502), we get a palindrome (517631136715).

The spelling of 205321013213 in words is "two hundred five billion, three hundred twenty-one million, thirteen thousand, two hundred thirteen".