133112312032 has 96 divisors (see below), whose sum is σ = 303574182912. Its totient is φ = 56276895744.

The previous prime is 133112311999. The next prime is 133112312041. The reversal of 133112312032 is 230213211331.

133112312032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133112312032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133112311994 and 133112312012.

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, 6056968 + ... + 6078904.

It is an arithmetic number, because the mean of its divisors is an integer number (3162231072).

Almost surely, 2^133112312032 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 133112312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151787091456).

133112312032 is an abundant number, since it is smaller than the sum of its proper divisors (170461870880).

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

133112312032 is a wasteful number, since it uses less digits than its factorization.

133112312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22320 (or 22312 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 133112312032 its reverse (230213211331), we get a palindrome (363325523363).

The spelling of 133112312032 in words is "one hundred thirty-three billion, one hundred twelve million, three hundred twelve thousand, thirty-two".