213331400 has 48 divisors (see below), whose sum is σ = 498182400. Its totient is φ = 84956480.

The previous prime is 213331399. The next prime is 213331409. The reversal of 213331400 is 4133312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213331409) 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, 45569 + ... + 50031.

It is an arithmetic number, because the mean of its divisors is an integer number (10378800).

Almost surely, 2^213331400 is an apocalyptic number.

213331400 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 213331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249091200).

213331400 is an abundant number, since it is smaller than the sum of its proper divisors (284851000).

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

213331400 is a wasteful number, since it uses less digits than its factorization.

213331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213331400 is about 14605.8686835121. The cubic root of 213331400 is about 597.5188278586.

Adding to 213331400 its reverse (4133312), we get a palindrome (217464712).

It can be divided in two parts, 2133 and 31400, that added together give a palindrome (33533).

The spelling of 213331400 in words is "two hundred thirteen million, three hundred thirty-one thousand, four hundred".