201313200 has 240 divisors, whose sum is σ = 715168512. Its totient is φ = 48000000.

The previous prime is 201313193. The next prime is 201313223. The reversal of 201313200 is 2313102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333125 + ... + 1333275.

Almost surely, 2^201313200 is an apocalyptic number.

201313200 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 201313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357584256).

201313200 is an abundant number, since it is smaller than the sum of its proper divisors (513855312).

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

201313200 is a wasteful number, since it uses less digits than its factorization.

201313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

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

The square root of 201313200 is about 14188.4882915693. The cubic root of 201313200 is about 586.0806964860.

Adding to 201313200 its reverse (2313102), we get a palindrome (203626302).

The spelling of 201313200 in words is "two hundred one million, three hundred thirteen thousand, two hundred".