13033104 has 80 divisors (see below), whose sum is σ = 39045120. Its totient is φ = 3669120.

The previous prime is 13033103. The next prime is 13033109. The reversal of 13033104 is 40133031.

13033104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13033103) 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, 26299 + ... + 26789.

It is an arithmetic number, because the mean of its divisors is an integer number (488064).

Almost surely, 2^13033104 is an apocalyptic number.

13033104 is a gapful number since it is divisible by the number (14) 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 13033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19522560).

13033104 is an abundant number, since it is smaller than the sum of its proper divisors (26012016).

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

13033104 is a wasteful number, since it uses less digits than its factorization.

13033104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13033104 is about 3610.1390554936. The cubic root of 13033104 is about 235.3328857101.

Adding to 13033104 its reverse (40133031), we get a palindrome (53166135).

The spelling of 13033104 in words is "thirteen million, thirty-three thousand, one hundred four".