133221300 has 72 divisors (see below), whose sum is σ = 394891392. Its totient is φ = 34656000.

The previous prime is 133221289. The next prime is 133221301. The reversal of 133221300 is 3122331.

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 133221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133221301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6885 + ... + 17715.

Almost surely, 2^133221300 is an apocalyptic number.

133221300 is a gapful number since it is divisible by the number (10) 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 133221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197445696).

133221300 is an abundant number, since it is smaller than the sum of its proper divisors (261670092).

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

133221300 is a wasteful number, since it uses less digits than its factorization.

133221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10889 (or 10882 counting only the distinct ones).

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

The square root of 133221300 is about 11542.1531786751. The cubic root of 133221300 is about 510.7298278339.

Adding to 133221300 its reverse (3122331), we get a palindrome (136343631).

The spelling of 133221300 in words is "one hundred thirty-three million, two hundred twenty-one thousand, three hundred".