213103200 has 72 divisors (see below), whose sum is σ = 693658728. Its totient is φ = 56826880.

The previous prime is 213103193. The next prime is 213103201. The reversal of 213103200 is 2301312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213103201) 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 11 ways as a sum of consecutive naturals, for example, 41997 + ... + 46796.

It is an arithmetic number, because the mean of its divisors is an integer number (9634149).

Almost surely, 2^213103200 is an apocalyptic number.

213103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213103200 is an abundant number, since it is smaller than the sum of its proper divisors (480555528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213103200 is a wasteful number, since it uses less digits than its factorization.

213103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88816 (or 88803 counting only the distinct ones).

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

The square root of 213103200 is about 14598.0546649203. The cubic root of 213103200 is about 597.3056971075.

Adding to 213103200 its reverse (2301312), we get a palindrome (215404512).

The spelling of 213103200 in words is "two hundred thirteen million, one hundred three thousand, two hundred".