133113320032 has 144 divisors (see below), whose sum is σ = 352130759568. Its totient is φ = 48811499520.

The previous prime is 133113320017. The next prime is 133113320033. The reversal of 133113320032 is 230023311331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133113319985 and 133113320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113320033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66228 + ... + 520204.

It is an arithmetic number, because the mean of its divisors is an integer number (2445352497).

Almost surely, 2^133113320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133113320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176065379784).

133113320032 is an abundant number, since it is smaller than the sum of its proper divisors (219017439536).

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

133113320032 is a wasteful number, since it uses less digits than its factorization.

133113320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454029 (or 454014 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 133113320032 its reverse (230023311331), we get a palindrome (363136631363).

The spelling of 133113320032 in words is "one hundred thirty-three billion, one hundred thirteen million, three hundred twenty thousand, thirty-two".