13800213 has 72 divisors (see below), whose sum is σ = 25727520. Its totient is φ = 7348320.

The previous prime is 13800211. The next prime is 13800217. The reversal of 13800213 is 31200831.

It is not a de Polignac number, because 13800213 - 2¹ = 13800211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 226203 + ... + 226263.

Almost surely, 2^13800213 is an apocalyptic number.

It is an amenable number.

13800213 is a deficient number, since it is larger than the sum of its proper divisors (11927307).

13800213 is an equidigital number, since it uses as much as digits as its factorization.

13800213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13800213 is about 3714.8637929270. The cubic root of 13800213 is about 239.8622647193.

The spelling of 13800213 in words is "thirteen million, eight hundred thousand, two hundred thirteen".