133220200000032 has 72 divisors (see below), whose sum is σ = 378961263564156. Its totient is φ = 44393098776576.

The previous prime is 133220200000009. The next prime is 133220200000037. The reversal of 133220200000032 is 230000002022331.

It is a happy number.

133220200000032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 132748280462736 + 471919537296 = 11521644^2 + 686964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 133220199999960 and 133220200000014.

It is not an unprimeable number, because it can be changed into a prime (133220200000037) 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 11 ways as a sum of consecutive naturals, for example, 70073673 + ... + 71949704.

Almost surely, 2^{133220200000032} is an apocalyptic number.

133220200000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133220200000032 is an abundant number, since it is smaller than the sum of its proper divisors (245741063564124).

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

133220200000032 is a wasteful number, since it uses less digits than its factorization.

133220200000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142026650 (or 142026639 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 133220200000032 its reverse (230000002022331), we get a palindrome (363220202022363).

The spelling of 133220200000032 in words is "one hundred thirty-three trillion, two hundred twenty billion, two hundred million, thirty-two", and thus it is an aban number.