213933312 has 216 divisors, whose sum is σ = 677054560. Its totient is φ = 67184640.

The previous prime is 213933301. The next prime is 213933323. The reversal of 213933312 is 213339312.

213933312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213933301) and next prime (213933323).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181862 + ... + 1182042.

Almost surely, 2^213933312 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 213933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338527280).

213933312 is an abundant number, since it is smaller than the sum of its proper divisors (463121248).

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

213933312 is an equidigital number, since it uses as much as digits as its factorization.

213933312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 213933312 is about 14626.4593118089. The cubic root of 213933312 is about 598.0802642419.

The spelling of 213933312 in words is "two hundred thirteen million, nine hundred thirty-three thousand, three hundred twelve".