213033017 has 2 divisors, whose sum is σ = 213033018. Its totient is φ = 213033016.

The previous prime is 213032993. The next prime is 213033019. The reversal of 213033017 is 710330312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195552256 + 17480761 = 13984^2 + 4181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213033017 is a prime.

Together with 213033019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213033017.

It is not a weakly prime, because it can be changed into another prime (213033019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106516508 + 106516509.

It is an arithmetic number, because the mean of its divisors is an integer number (106516509).

Almost surely, 2^213033017 is an apocalyptic number.

It is an amenable number.

213033017 is a deficient number, since it is larger than the sum of its proper divisors (1).

213033017 is an equidigital number, since it uses as much as digits as its factorization.

213033017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 213033017 is about 14595.6506192770. The cubic root of 213033017 is about 597.2401180694.

Adding to 213033017 its reverse (710330312), we get a palindrome (923363329).

The spelling of 213033017 in words is "two hundred thirteen million, thirty-three thousand, seventeen".