13002133032 has 48 divisors (see below), whose sum is σ = 40244699040. Its totient is φ = 3714895008.

The previous prime is 13002133021. The next prime is 13002133117. The reversal of 13002133032 is 23033120031.

13002133032 is a `hidden beast` number, since 1 + 300 + 2 + 1 + 330 + 32 = 666.

13002133032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13002132996 and 13002133014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12898438 + ... + 12899445.

It is an arithmetic number, because the mean of its divisors is an integer number (838431230).

Almost surely, 2^13002133032 is an apocalyptic number.

13002133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13002133032 is an abundant number, since it is smaller than the sum of its proper divisors (27242566008).

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

13002133032 is a wasteful number, since it uses less digits than its factorization.

13002133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25797902 (or 25797895 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13002133032 its reverse (23033120031), we get a palindrome (36035253063).

The spelling of 13002133032 in words is "thirteen billion, two million, one hundred thirty-three thousand, thirty-two".