133220102832 has 480 divisors, whose sum is σ = 414487756800. Its totient is φ = 39810355200.

The previous prime is 133220102789. The next prime is 133220102833. The reversal of 133220102832 is 238201022331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133220102796 and 133220102805.

It is not an unprimeable number, because it can be changed into a prime (133220102833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557406169 + ... + 557406407.

It is an arithmetic number, because the mean of its divisors is an integer number (863516160).

Almost surely, 2^133220102832 is an apocalyptic number.

133220102832 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 133220102832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207243878400).

133220102832 is an abundant number, since it is smaller than the sum of its proper divisors (281267653968).

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

133220102832 is a wasteful number, since it uses less digits than its factorization.

133220102832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 133220102832 in words is "one hundred thirty-three billion, two hundred twenty million, one hundred two thousand, eight hundred thirty-two".