213331300 has 216 divisors, whose sum is σ = 617163624. Its totient is φ = 63221760.

The previous prime is 213331289. The next prime is 213331361. The reversal of 213331300 is 3133312.

It can be written as a sum of positive squares in 12 ways, for example, as 14182756 + 199148544 = 3766^2 + 14112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1082802 + ... + 1082998.

It is an arithmetic number, because the mean of its divisors is an integer number (2857239).

Almost surely, 2^213331300 is an apocalyptic number.

213331300 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 213331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308581812).

213331300 is an abundant number, since it is smaller than the sum of its proper divisors (403832324).

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

213331300 is a wasteful number, since it uses less digits than its factorization.

213331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 213331300 is about 14605.8652602302. The cubic root of 213331300 is about 597.5187344954.

Adding to 213331300 its reverse (3133312), we get a palindrome (216464612).

It can be divided in two parts, 2133 and 31300, that added together give a palindrome (33433).

The spelling of 213331300 in words is "two hundred thirteen million, three hundred thirty-one thousand, three hundred".