201321123300 has 576 divisors, whose sum is σ = 748339603200. Its totient is φ = 45964800000.

The previous prime is 201321123287. The next prime is 201321123307. The reversal of 201321123300 is 3321123102.

201321123300 is a `hidden beast` number, since 2 + 0 + 1 + 321 + 12 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201321123307) 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 191 ways as a sum of consecutive naturals, for example, 35310450 + ... + 35316150.

It is an arithmetic number, because the mean of its divisors is an integer number (1299200700).

Almost surely, 2^201321123300 is an apocalyptic number.

201321123300 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 201321123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374169801600).

201321123300 is an abundant number, since it is smaller than the sum of its proper divisors (547018479900).

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

201321123300 is a wasteful number, since it uses less digits than its factorization.

201321123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201321123300 its reverse (3321123102), we get a palindrome (204642246402).

The spelling of 201321123300 in words is "two hundred one billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred".