213324310032 has 80 divisors (see below), whose sum is σ = 564705189888. Its totient is φ = 69352104960.

The previous prime is 213324309983. The next prime is 213324310141. The reversal of 213324310032 is 230013423312.

It is a super-2 number, since 2×213324310032² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 213324309984 and 213324310011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7036218 + ... + 7066470.

Almost surely, 2^213324310032 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 213324310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282352594944).

213324310032 is an abundant number, since it is smaller than the sum of its proper divisors (351380879856).

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

213324310032 is a wasteful number, since it uses less digits than its factorization.

213324310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33888 (or 33882 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213324310032 its reverse (230013423312), we get a palindrome (443337733344).

The spelling of 213324310032 in words is "two hundred thirteen billion, three hundred twenty-four million, three hundred ten thousand, thirty-two".