13000233 has 16 divisors (see below), whose sum is σ = 17867520. Its totient is φ = 8403024.

The previous prime is 13000219. The next prime is 13000243. The reversal of 13000233 is 33200031.

It is a happy number.

13000233 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13000233 - 2⁴ = 13000217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13000213) 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, 22810 + ... + 23372.

It is an arithmetic number, because the mean of its divisors is an integer number (1116720).

Almost surely, 2^13000233 is an apocalyptic number.

It is an amenable number.

13000233 is a deficient number, since it is larger than the sum of its proper divisors (4867287).

13000233 is a wasteful number, since it uses less digits than its factorization.

13000233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 13000233 is about 3605.5835866056. The cubic root of 13000233 is about 235.1348735354.

Adding to 13000233 its reverse (33200031), we get a palindrome (46200264).

The spelling of 13000233 in words is "thirteen million, two hundred thirty-three", and thus it is an aban number.