13033000 has 32 divisors (see below), whose sum is σ = 30499560. Its totient is φ = 5212800.

The previous prime is 13032979. The next prime is 13033001. The reversal of 13033000 is 33031.

It is a happy number.

13033000 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 4588164 + 8444836 = 2142^2 + 2906^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13033001) 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, 5517 + ... + 7516.

Almost surely, 2^13033000 is an apocalyptic number.

13033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033000 is an abundant number, since it is smaller than the sum of its proper divisors (17466560).

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

13033000 is a wasteful number, since it uses less digits than its factorization.

13033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13054 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 13033000 is about 3610.1246515875. The cubic root of 13033000 is about 235.3322597481.

Adding to 13033000 its reverse (33031), we get a palindrome (13066031).

The spelling of 13033000 in words is "thirteen million, thirty-three thousand".