213000213 has 16 divisors (see below), whose sum is σ = 290881152. Its totient is φ = 138600000.

The previous prime is 213000211. The next prime is 213000239. The reversal of 213000213 is 312000312.

It is a happy number.

It is not a de Polignac number, because 213000213 - 2¹ = 213000211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16563 + ... + 26463.

It is an arithmetic number, because the mean of its divisors is an integer number (18180072).

Almost surely, 2^213000213 is an apocalyptic number.

It is an amenable number.

213000213 is a deficient number, since it is larger than the sum of its proper divisors (77880939).

213000213 is a wasteful number, since it uses less digits than its factorization.

213000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10076.

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

The square root of 213000213 is about 14594.5268165844. The cubic root of 213000213 is about 597.2094610523.

Adding to 213000213 its reverse (312000312), we get a palindrome (525000525).

Subtracting 213000213 from its reverse (312000312), we obtain a palindrome (99000099).

The spelling of 213000213 in words is "two hundred thirteen million, two hundred thirteen", and thus it is an aban number.