13004434032 has 80 divisors (see below), whose sum is σ = 34762536960. Its totient is φ = 4184812800.

The previous prime is 13004434013. The next prime is 13004434033. The reversal of 13004434032 is 23043440031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13004433993 and 13004434011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004434033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616069 + ... + 636827.

It is an arithmetic number, because the mean of its divisors is an integer number (434531712).

Almost surely, 2^13004434032 is an apocalyptic number.

13004434032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381268480).

13004434032 is an abundant number, since it is smaller than the sum of its proper divisors (21758102928).

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

13004434032 is a wasteful number, since it uses less digits than its factorization.

13004434032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21222 (or 21216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13004434032 its reverse (23043440031), we get a palindrome (36047874063).

The spelling of 13004434032 in words is "thirteen billion, four million, four hundred thirty-four thousand, thirty-two".