33001105000 has 80 divisors (see below), whose sum is σ = 79207973460. Its totient is φ = 12878400000.

The previous prime is 33001104937. The next prime is 33001105013. The reversal of 33001105000 is 50110033.

It can be written as a sum of positive squares in 10 ways, for example, as 4989727044 + 28011377956 = 70638^2 + 167366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124510 + ... + 285490.

Almost surely, 2^33001105000 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 33001105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39603986730).

33001105000 is an abundant number, since it is smaller than the sum of its proper divisors (46206868460).

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

33001105000 is a wasteful number, since it uses less digits than its factorization.

33001105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161048 (or 161029 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

Adding to 33001105000 its reverse (50110033), we get a palindrome (33051215033).

The spelling of 33001105000 in words is "thirty-three billion, one million, one hundred five thousand".