213233323424 has 384 divisors, whose sum is σ = 532998144000. Its totient is φ = 82667520000.

The previous prime is 213233323397. The next prime is 213233323427. The reversal of 213233323424 is 424323332312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (213233323427) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 355981877 + ... + 355982475.

It is an arithmetic number, because the mean of its divisors is an integer number (1388016000).

Almost surely, 2^213233323424 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 213233323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266499072000).

213233323424 is an abundant number, since it is smaller than the sum of its proper divisors (319764820576).

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

213233323424 is a wasteful number, since it uses less digits than its factorization.

213233323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its digits is 62208, while the sum is 32.

Adding to 213233323424 its reverse (424323332312), we get a palindrome (637556655736).

The spelling of 213233323424 in words is "two hundred thirteen billion, two hundred thirty-three million, three hundred twenty-three thousand, four hundred twenty-four".