213363312 has 80 divisors (see below), whose sum is σ = 595973760. Its totient is φ = 65546496.

The previous prime is 213363301. The next prime is 213363313.

It is a happy number.

213363312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (213363313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30583 + ... + 36905.

It is an arithmetic number, because the mean of its divisors is an integer number (7449672).

Almost surely, 2^213363312 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 213363312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297986880).

213363312 is an abundant number, since it is smaller than the sum of its proper divisors (382610448).

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

213363312 is a wasteful number, since it uses less digits than its factorization.

213363312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6384 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 213363312 is about 14606.9610802521. The cubic root of 213363312 is about 597.5486204257.

The spelling of 213363312 in words is "two hundred thirteen million, three hundred sixty-three thousand, three hundred twelve".