202731342133217 has 2 divisors, whose sum is σ = 202731342133218. Its totient is φ = 202731342133216.

The previous prime is 202731342133157. The next prime is 202731342133253. The reversal of 202731342133217 is 712331243137202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201470743133521 + 1260598999696 = 14194039^2 + 1122764^2 .

It is a cyclic number.

It is not a de Polignac number, because 202731342133217 - 2¹⁸ = 202731341871073 is a prime.

It is not a weakly prime, because it can be changed into another prime (202731342133297) 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, 101365671066608 + 101365671066609.

It is an arithmetic number, because the mean of its divisors is an integer number (101365671066609).

Almost surely, 2^{202731342133217} is an apocalyptic number.

It is an amenable number.

202731342133217 is a deficient number, since it is larger than the sum of its proper divisors (1).

202731342133217 is an equidigital number, since it uses as much as digits as its factorization.

202731342133217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 202731342133217 in words is "two hundred two trillion, seven hundred thirty-one billion, three hundred forty-two million, one hundred thirty-three thousand, two hundred seventeen".