201321300 has 144 divisors (see below), whose sum is σ = 614960640. Its totient is φ = 50751360.

The previous prime is 201321299. The next prime is 201321301. The reversal of 201321300 is 3123102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201321299) and next prime (201321301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124611 + ... + 1124789.

It is an arithmetic number, because the mean of its divisors is an integer number (4270560).

Almost surely, 2^201321300 is an apocalyptic number.

201321300 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 201321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307480320).

201321300 is an abundant number, since it is smaller than the sum of its proper divisors (413639340).

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

201321300 is a wasteful number, since it uses less digits than its factorization.

201321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

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

The square root of 201321300 is about 14188.7737313695. The cubic root of 201321300 is about 586.0885568581.

Adding to 201321300 its reverse (3123102), we get a palindrome (204444402).

The spelling of 201321300 in words is "two hundred one million, three hundred twenty-one thousand, three hundred".