213322331200 has 168 divisors, whose sum is σ = 573389845344. Its totient is φ = 77468160000.

The previous prime is 213322331161. The next prime is 213322331231. The reversal of 213322331200 is 2133223312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13843500 + ... + 13858900.

Almost surely, 2^213322331200 is an apocalyptic number.

213322331200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213322331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286694922672).

213322331200 is an abundant number, since it is smaller than the sum of its proper divisors (360067514144).

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

213322331200 is a wasteful number, since it uses less digits than its factorization.

213322331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16221 (or 16206 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213322331200 its reverse (2133223312), we get a palindrome (215455554512).

213322331200 divided by its reverse (2133223312) gives a square (100 = 10²).

It can be divided in two parts, 21332 and 2331200, that added together give a palindrome (2352532).

The spelling of 213322331200 in words is "two hundred thirteen billion, three hundred twenty-two million, three hundred thirty-one thousand, two hundred".