201331320 has 128 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 51840000.

The previous prime is 201331271. The next prime is 201331321. The reversal of 201331320 is 23133102.

201331320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201331320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201331321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742785 + ... + 743055.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^201331320 is an apocalyptic number.

201331320 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 201331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

201331320 is an abundant number, since it is smaller than the sum of its proper divisors (423789960).

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

201331320 is a wasteful number, since it uses less digits than its factorization.

201331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 201331320 is about 14189.1268230290. The cubic root of 201331320 is about 586.0982801378.

Adding to 201331320 its reverse (23133102), we get a palindrome (224464422).

It can be divided in two parts, 2013 and 31320, that added together give a palindrome (33333).

The spelling of 201331320 in words is "two hundred one million, three hundred thirty-one thousand, three hundred twenty".