213321312 has 72 divisors (see below), whose sum is σ = 608451480. Its totient is φ = 70894080.

The previous prime is 213321307. The next prime is 213321313. The reversal of 213321312 is 213123312.

213321312 is a `hidden beast` number, since 21 + 332 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 (213321313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116887 + ... + 118697.

It is an arithmetic number, because the mean of its divisors is an integer number (8450715).

Almost surely, 2^213321312 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 213321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304225740).

213321312 is an abundant number, since it is smaller than the sum of its proper divisors (395130168).

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

213321312 is a wasteful number, since it uses less digits than its factorization.

213321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2225 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 213321312 is about 14605.5233387921. The cubic root of 213321312 is about 597.5094092342.

Adding to 213321312 its reverse (213123312), we get a palindrome (426444624).

The spelling of 213321312 in words is "two hundred thirteen million, three hundred twenty-one thousand, three hundred twelve".