13200213 has 16 divisors (see below), whose sum is σ = 19172160. Its totient is φ = 8029824.

The previous prime is 13200199. The next prime is 13200221. The reversal of 13200213 is 31200231.

It is a happy number.

It is not a de Polignac number, because 13200213 - 2⁸ = 13199957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1570 + ... + 5372.

It is an arithmetic number, because the mean of its divisors is an integer number (1198260).

Almost surely, 2^13200213 is an apocalyptic number.

13200213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13200213 is a deficient number, since it is larger than the sum of its proper divisors (5971947).

13200213 is a wasteful number, since it uses less digits than its factorization.

13200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13200213 is about 3633.2097379590. The cubic root of 13200213 is about 236.3344212725.

Adding to 13200213 its reverse (31200231), we get a palindrome (44400444).

The spelling of 13200213 in words is "thirteen million, two hundred thousand, two hundred thirteen".