205314012034321 has 2 divisors, whose sum is σ = 205314012034322. Its totient is φ = 205314012034320.

The previous prime is 205314012034279. The next prime is 205314012034337. The reversal of 205314012034321 is 123430210413502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205092072113296 + 221939921025 = 14321036^2 + 471105^2 .

It is a cyclic number.

It is not a de Polignac number, because 205314012034321 - 2²⁹ = 205313475163409 is a prime.

It is not a weakly prime, because it can be changed into another prime (205314012134321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102657006017160 + 102657006017161.

It is an arithmetic number, because the mean of its divisors is an integer number (102657006017161).

Almost surely, 2^{205314012034321} is an apocalyptic number.

It is an amenable number.

205314012034321 is a deficient number, since it is larger than the sum of its proper divisors (1).

205314012034321 is an equidigital number, since it uses as much as digits as its factorization.

205314012034321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 205314012034321 its reverse (123430210413502), we get a palindrome (328744222447823).

The spelling of 205314012034321 in words is "two hundred five trillion, three hundred fourteen billion, twelve million, thirty-four thousand, three hundred twenty-one".