213123312 has 50 divisors (see below), whose sum is σ = 616844448. Its totient is φ = 71040672.

The previous prime is 213123301. The next prime is 213123319. The reversal of 213123312 is 213321312.

213123312 is a `hidden beast` number, since 21 + 312 + 331 + 2 = 666.

It is a super-2 number, since 2×213123312² = 90843092235698688, which contains 22 as substring.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213123319) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80928 + ... + 83519.

Almost surely, 2^213123312 is an apocalyptic number.

It is an amenable number.

213123312 is an abundant number, since it is smaller than the sum of its proper divisors (403721136).

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

213123312 is a wasteful number, since it uses less digits than its factorization.

213123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164467 (or 164452 counting only the distinct ones).

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

The square root of 213123312 is about 14598.7435075763. The cubic root of 213123312 is about 597.3244871183.

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

The spelling of 213123312 in words is "two hundred thirteen million, one hundred twenty-three thousand, three hundred twelve".