13000213 has 2 divisors, whose sum is σ = 13000214. Its totient is φ = 13000212.

The previous prime is 13000201. The next prime is 13000217. The reversal of 13000213 is 31200031.

13000213 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., 6563844 + 6436369 = 2562^2 + 2537^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000213 - 2¹⁷ = 12869141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13000213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500106 + 6500107.

It is an arithmetic number, because the mean of its divisors is an integer number (6500107).

Almost surely, 2^13000213 is an apocalyptic number.

It is an amenable number.

13000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000213 is an equidigital number, since it uses as much as digits as its factorization.

13000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13000213 is about 3605.5808131284. The cubic root of 13000213 is about 235.1347529555.

Adding to 13000213 its reverse (31200031), we get a palindrome (44200244).

The spelling of 13000213 in words is "thirteen million, two hundred thirteen", and thus it is an aban number.