213132223231200 has 5184 divisors, whose sum is σ = 1012234671459648. Its totient is φ = 43342154956800.

The previous prime is 213132223231183. The next prime is 213132223231241. The reversal of 213132223231200 is 2132322231312.

213132223231200 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 2 + 223 + 231 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 829308261472 + ... + 829308261728.

It is an arithmetic number, because the mean of its divisors is an integer number (195261317797).

Almost surely, 2^{213132223231200} is an apocalyptic number.

213132223231200 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 213132223231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506117335729824).

213132223231200 is an abundant number, since it is smaller than the sum of its proper divisors (799102448228448).

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

213132223231200 is a wasteful number, since it uses less digits than its factorization.

213132223231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213132223231200 its reverse (2132322231312), we get a palindrome (215264545462512).

The spelling of 213132223231200 in words is "two hundred thirteen trillion, one hundred thirty-two billion, two hundred twenty-three million, two hundred thirty-one thousand, two hundred".