133201120 has 96 divisors (see below), whose sum is σ = 358924608. Its totient is φ = 46276608.

The previous prime is 133201099. The next prime is 133201151. The reversal of 133201120 is 21102331.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33477 + ... + 37243.

It is an arithmetic number, because the mean of its divisors is an integer number (3738798).

Almost surely, 2^133201120 is an apocalyptic number.

133201120 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 133201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179462304).

133201120 is an abundant number, since it is smaller than the sum of its proper divisors (225723488).

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

133201120 is a wasteful number, since it uses less digits than its factorization.

133201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 133201120 is about 11541.2789585903. The cubic root of 133201120 is about 510.7040385435.

Adding to 133201120 its reverse (21102331), we get a palindrome (154303451).

The spelling of 133201120 in words is "one hundred thirty-three million, two hundred one thousand, one hundred twenty".