201310200 has 288 divisors, whose sum is σ = 832759200. Its totient is φ = 42439680.

The previous prime is 201310181. The next prime is 201310201. The reversal of 201310200 is 2013102.

It is a happy number.

It is a super-4 number, since 4×201310200⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201310201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163186 + ... + 164414.

It is an arithmetic number, because the mean of its divisors is an integer number (2891525).

Almost surely, 2^201310200 is an apocalyptic number.

201310200 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 201310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416379600).

201310200 is an abundant number, since it is smaller than the sum of its proper divisors (631449000).

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

201310200 is a wasteful number, since it uses less digits than its factorization.

201310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201310200 is about 14188.3825716676. The cubic root of 201310200 is about 586.0777851836.

Adding to 201310200 its reverse (2013102), we get a palindrome (203323302).

Multiplying 201310200 by its reverse (2013102), we get a square (405257966240400 = 20131020²).

201310200 divided by its reverse (2013102) gives a square (100 = 10²).

The spelling of 201310200 in words is "two hundred one million, three hundred ten thousand, two hundred".