217407312313 has 2 divisors, whose sum is σ = 217407312314. Its totient is φ = 217407312312.

The previous prime is 217407312281. The next prime is 217407312329. The reversal of 217407312313 is 313213704712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216116203689 + 1291108624 = 464883^2 + 35932^2 .

It is a cyclic number.

It is not a de Polignac number, because 217407312313 - 2⁵ = 217407312281 is a prime.

It is not a weakly prime, because it can be changed into another prime (217407312383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108703656156 + 108703656157.

It is an arithmetic number, because the mean of its divisors is an integer number (108703656157).

Almost surely, 2^217407312313 is an apocalyptic number.

It is an amenable number.

217407312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

217407312313 is an equidigital number, since it uses as much as digits as its factorization.

217407312313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 217407312313 in words is "two hundred seventeen billion, four hundred seven million, three hundred twelve thousand, three hundred thirteen".