133001033202032 has 80 divisors (see below), whose sum is σ = 267523378836480. Its totient is φ = 63979192569600.

The previous prime is 133001033201963. The next prime is 133001033202043. The reversal of 133001033202032 is 230202330100331.

It is a junction number, because it is equal to n+sod(n) for n = 133001033201989 and 133001033202007.

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, 428572073 + ... + 428882295.

It is an arithmetic number, because the mean of its divisors is an integer number (3344042235456).

Almost surely, 2^{133001033202032} 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 133001033202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133761689418240).

133001033202032 is an abundant number, since it is smaller than the sum of its proper divisors (134522345634448).

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

133001033202032 is a wasteful number, since it uses less digits than its factorization.

133001033202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313542 (or 313536 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 133001033202032 its reverse (230202330100331), we get a palindrome (363203363302363).

The spelling of 133001033202032 in words is "one hundred thirty-three trillion, one billion, thirty-three million, two hundred two thousand, thirty-two".