213333312 has 56 divisors (see below), whose sum is σ = 566928000. Its totient is φ = 70798336.

The previous prime is 213333301. The next prime is 213333319.

213333312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213333312² = 91022204017778688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213333319) 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 7 ways as a sum of consecutive naturals, for example, 43564 + ... + 48212.

Almost surely, 2^213333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283464000).

213333312 is an abundant number, since it is smaller than the sum of its proper divisors (353594688).

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

213333312 is a wasteful number, since it uses less digits than its factorization.

213333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4903 (or 4893 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 213333312 is about 14605.9341365077. The cubic root of 213333312 is about 597.5206129569.

It can be divided in two parts, 21 and 3333312, that added together give a palindrome (3333333).

The spelling of 213333312 in words is "two hundred thirteen million, three hundred thirty-three thousand, three hundred twelve".