13000217 has 2 divisors, whose sum is σ = 13000218. Its totient is φ = 13000216.

The previous prime is 13000213. The next prime is 13000219. The reversal of 13000217 is 71200031.

13000217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6869641 + 6130576 = 2621^2 + 2476^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000217 - 2² = 13000213 is a prime.

Together with 13000219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13000213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500108 + 6500109.

It is an arithmetic number, because the mean of its divisors is an integer number (6500109).

Almost surely, 2^13000217 is an apocalyptic number.

It is an amenable number.

13000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000217 is an equidigital number, since it uses as much as digits as its factorization.

13000217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 13000217 is about 3605.5813678241. The cubic root of 13000217 is about 235.1347770715.

Adding to 13000217 its reverse (71200031), we get a palindrome (84200248).

The spelling of 13000217 in words is "thirteen million, two hundred seventeen", and thus it is an aban number.