201331200 has 360 divisors, whose sum is σ = 780900912. Its totient is φ = 45588480.

The previous prime is 201331199. The next prime is 201331217. The reversal of 201331200 is 2133102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881547 + ... + 1881653.

Almost surely, 2^201331200 is an apocalyptic number.

201331200 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 201331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390450456).

201331200 is an abundant number, since it is smaller than the sum of its proper divisors (579569712).

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

201331200 is a wasteful number, since it uses less digits than its factorization.

201331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 201331200 is about 14189.1225944383. The cubic root of 201331200 is about 586.0981636932.

Adding to 201331200 its reverse (2133102), we get a palindrome (203464302).

The spelling of 201331200 in words is "two hundred one million, three hundred thirty-one thousand, two hundred".