133201223003232 has 144 divisors (see below), whose sum is σ = 388043180310240. Its totient is φ = 43315975219200.

The previous prime is 133201223003209. The next prime is 133201223003257. The reversal of 133201223003232 is 232300322102331.

133201223003232 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 122 + 300 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 133201223003196 and 133201223003205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371902894 + ... + 372260882.

It is an arithmetic number, because the mean of its divisors is an integer number (2694744307710).

Almost surely, 2^{133201223003232} is an apocalyptic number.

133201223003232 is a gapful number since it is divisible by the number (12) 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 133201223003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194021590155120).

133201223003232 is an abundant number, since it is smaller than the sum of its proper divisors (254841957307008).

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

133201223003232 is a wasteful number, since it uses less digits than its factorization.

133201223003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389557 (or 389546 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133201223003232 its reverse (232300322102331), we get a palindrome (365501545105563).

Subtracting 133201223003232 from its reverse (232300322102331), we obtain a palindrome (99099099099099).

The spelling of 133201223003232 in words is "one hundred thirty-three trillion, two hundred one billion, two hundred twenty-three million, three thousand, two hundred thirty-two".