213200223132 has 192 divisors, whose sum is σ = 581851759104. Its totient is φ = 60158730240.

The previous prime is 213200223097. The next prime is 213200223133. The reversal of 213200223132 is 231322002312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213200223099 and 213200223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213200223133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52112407 + ... + 52116497.

It is an arithmetic number, because the mean of its divisors is an integer number (3030477912).

Almost surely, 2^213200223132 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 213200223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290925879552).

213200223132 is an abundant number, since it is smaller than the sum of its proper divisors (368651535972).

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

213200223132 is a wasteful number, since it uses less digits than its factorization.

213200223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213200223132 its reverse (231322002312), we get a palindrome (444522225444).

The spelling of 213200223132 in words is "two hundred thirteen billion, two hundred million, two hundred twenty-three thousand, one hundred thirty-two".