213303312 has 120 divisors (see below), whose sum is σ = 625817088. Its totient is φ = 67737600.

The previous prime is 213303289. The next prime is 213303313.

213303312 is a `hidden beast` number, since 2 + 1 + 330 + 331 + 2 = 666.

213303312 is nontrivially palindromic in base 10.

213303312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213303313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316608 + ... + 317280.

Almost surely, 2^213303312 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 213303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312908544).

213303312 is an abundant number, since it is smaller than the sum of its proper divisors (412513776).

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

213303312 is a wasteful number, since it uses less digits than its factorization.

213303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213303312 is about 14604.9071205537. The cubic root of 213303312 is about 597.4926028624.

It can be divided in two parts, 21330 and 3312, that added together give a palindrome (24642).

The spelling of 213303312 in words is "two hundred thirteen million, three hundred three thousand, three hundred twelve".