213133300 has 36 divisors (see below), whose sum is σ = 466845120. Its totient is φ = 84452320.

The previous prime is 213133289. The next prime is 213133313. The reversal of 213133300 is 3331312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741 + ... + 20659.

It is an arithmetic number, because the mean of its divisors is an integer number (12967920).

Almost surely, 2^213133300 is an apocalyptic number.

213133300 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 213133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233422560).

213133300 is an abundant number, since it is smaller than the sum of its proper divisors (253711820).

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

213133300 is a wasteful number, since it uses less digits than its factorization.

213133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20040 (or 20033 counting only the distinct ones).

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

The square root of 213133300 is about 14599.0855878031. The cubic root of 213133300 is about 597.3338181541. Note that the first 3 decimals are identical.

Adding to 213133300 its reverse (3331312), we get a palindrome (216464612).

The spelling of 213133300 in words is "two hundred thirteen million, one hundred thirty-three thousand, three hundred".