13200133024 has 144 divisors (see below), whose sum is σ = 29624457240. Its totient is φ = 5779537920.

The previous prime is 13200133019. The next prime is 13200133039. The reversal of 13200133024 is 42033100231.

It can be written as a sum of positive squares in 12 ways, for example, as 908419600 + 12291713424 = 30140^2 + 110868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13200132992 and 13200133010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8203132 + ... + 8204740.

Almost surely, 2^13200133024 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 13200133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812228620).

13200133024 is an abundant number, since it is smaller than the sum of its proper divisors (16424324216).

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

13200133024 is a wasteful number, since it uses less digits than its factorization.

13200133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13200133024 its reverse (42033100231), we get a palindrome (55233233255).

It can be divided in two parts, 132001 and 33024, that added together give a triangular number (165025 = T₅₇₄).

The spelling of 13200133024 in words is "thirteen billion, two hundred million, one hundred thirty-three thousand, twenty-four".