33001133323312 has 160 divisors (see below), whose sum is σ = 81075781532160. Its totient is φ = 12638470901760.

The previous prime is 33001133323231. The next prime is 33001133323351. The reversal of 33001133323312 is 21332333110033.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1461962458 + ... + 1461985030.

It is an arithmetic number, because the mean of its divisors is an integer number (506723634576).

Almost surely, 2^{33001133323312} 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 33001133323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40537890766080).

33001133323312 is an abundant number, since it is smaller than the sum of its proper divisors (48074648208848).

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

33001133323312 is a wasteful number, since it uses less digits than its factorization.

33001133323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42771 (or 42765 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 33001133323312 its reverse (21332333110033), we get a palindrome (54333466433345).

The spelling of 33001133323312 in words is "thirty-three trillion, one billion, one hundred thirty-three million, three hundred twenty-three thousand, three hundred twelve".