13033040 has 40 divisors (see below), whose sum is σ = 30620808. Its totient is φ = 5158400.

The previous prime is 13033003. The next prime is 13033049. The reversal of 13033040 is 4033031.

It is a happy number.

13033040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5125696 + 7907344 = 2264^2 + 2812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7274 + ... + 8886.

Almost surely, 2^13033040 is an apocalyptic number.

13033040 is a gapful number since it is divisible by the number (10) 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 13033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310404).

13033040 is an abundant number, since it is smaller than the sum of its proper divisors (17587768).

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

13033040 is a wasteful number, since it uses less digits than its factorization.

13033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 13033040 is about 3610.1301915582. The cubic root of 13033040 is about 235.3325005031.

Adding to 13033040 its reverse (4033031), we get a palindrome (17066071).

Subtracting from 13033040 its reverse (4033031), we obtain a palindrome (9000009).

The spelling of 13033040 in words is "thirteen million, thirty-three thousand, forty".