217362313013 has 2 divisors, whose sum is σ = 217362313014. Its totient is φ = 217362313012.

The previous prime is 217362312943. The next prime is 217362313031. The reversal of 217362313013 is 310313263712.

Together with next prime (217362313031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197987621764 + 19374691249 = 444958^2 + 139193^2 .

It is a cyclic number.

It is not a de Polignac number, because 217362313013 - 2⁸ = 217362312757 is a prime.

It is a super-2 number, since 2×217362313013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217362313043) 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, 108681156506 + 108681156507.

It is an arithmetic number, because the mean of its divisors is an integer number (108681156507).

Almost surely, 2^217362313013 is an apocalyptic number.

It is an amenable number.

217362313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

217362313013 is an equidigital number, since it uses as much as digits as its factorization.

217362313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 217362313013 its reverse (310313263712), we get a palindrome (527675576725).

The spelling of 217362313013 in words is "two hundred seventeen billion, three hundred sixty-two million, three hundred thirteen thousand, thirteen".