213131331200 has 192 divisors, whose sum is σ = 536770242720. Its totient is φ = 83606016000.

The previous prime is 213131331199. The next prime is 213131331263. The reversal of 213131331200 is 2133131312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34579319 + ... + 34585481.

Almost surely, 2^213131331200 is an apocalyptic number.

213131331200 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 213131331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268385121360).

213131331200 is an abundant number, since it is smaller than the sum of its proper divisors (323638911520).

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

213131331200 is a wasteful number, since it uses less digits than its factorization.

213131331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213131331200 its reverse (2133131312), we get a palindrome (215264462512).

The spelling of 213131331200 in words is "two hundred thirteen billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred".