133313033300032 has 112 divisors (see below), whose sum is σ = 286207173025200. Its totient is φ = 61375479939072.

The previous prime is 133313033300021. The next prime is 133313033300053. The reversal of 133313033300032 is 230003330313331.

It can be written as a sum of positive squares in 8 ways, for example, as 25637047396416 + 107675985903616 = 5063304^2 + 10376704^2 .

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, 16812568 + ... + 23436904.

It is an arithmetic number, because the mean of its divisors is an integer number (2555421187725).

Almost surely, 2^{133313033300032} 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 133313033300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143103586512600).

133313033300032 is an abundant number, since it is smaller than the sum of its proper divisors (152894139725168).

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

133313033300032 is a wasteful number, since it uses less digits than its factorization.

133313033300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624768 (or 6624758 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 28.

Adding to 133313033300032 its reverse (230003330313331), we get a palindrome (363316363613363).

The spelling of 133313033300032 in words is "one hundred thirty-three trillion, three hundred thirteen billion, thirty-three million, three hundred thousand, thirty-two".