213662131200 has 792 divisors, whose sum is σ = 881591348352. Its totient is φ = 48430448640.

The previous prime is 213662131183. The next prime is 213662131201. The reversal of 213662131200 is 2131266312.

213662131200 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 621 + 31 + 2 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213662131201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220953117 + ... + 220954083.

Almost surely, 2^213662131200 is an apocalyptic number.

213662131200 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 213662131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440795674176).

213662131200 is an abundant number, since it is smaller than the sum of its proper divisors (667929217152).

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

213662131200 is a wasteful number, since it uses less digits than its factorization.

213662131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213662131200 its reverse (2131266312), we get a palindrome (215793397512).

The spelling of 213662131200 in words is "two hundred thirteen billion, six hundred sixty-two million, one hundred thirty-one thousand, two hundred".