133221120 has 72 divisors (see below), whose sum is σ = 425487216. Its totient is φ = 35524608.

The previous prime is 133221107. The next prime is 133221149. The reversal of 133221120 is 21122331.

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 133221120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13507 + ... + 21186.

Almost surely, 2^133221120 is an apocalyptic number.

133221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133221120 is an abundant number, since it is smaller than the sum of its proper divisors (292266096).

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

133221120 is an equidigital number, since it uses as much as digits as its factorization.

133221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34717 (or 34703 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 133221120 is about 11542.1453811672. The cubic root of 133221120 is about 510.7295978121.

Adding to 133221120 its reverse (21122331), we get a palindrome (154343451).

The spelling of 133221120 in words is "one hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty".