213311200 has 72 divisors (see below), whose sum is σ = 543433968. Its totient is φ = 81607680.

The previous prime is 213311173. The next prime is 213311201. The reversal of 213311200 is 2113312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213311201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12604 + ... + 24196.

It is an arithmetic number, because the mean of its divisors is an integer number (7547694).

Almost surely, 2^213311200 is an apocalyptic number.

213311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271716984).

213311200 is an abundant number, since it is smaller than the sum of its proper divisors (330122768).

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

213311200 is a wasteful number, since it uses less digits than its factorization.

213311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11636 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 213311200 is about 14605.1771642798. The cubic root of 213311200 is about 597.4999679044.

Adding to 213311200 its reverse (2113312), we get a palindrome (215424512).

The spelling of 213311200 in words is "two hundred thirteen million, three hundred eleven thousand, two hundred".