13004133 has 24 divisors (see below), whose sum is σ = 18832608. Its totient is φ = 7977216.

The previous prime is 13004129. The next prime is 13004137. The reversal of 13004133 is 33140031.

It is an interprime number because it is at equal distance from previous prime (13004129) and next prime (13004137).

It is not a de Polignac number, because 13004133 - 2² = 13004129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45810 + ... + 46092.

It is an arithmetic number, because the mean of its divisors is an integer number (784692).

Almost surely, 2^13004133 is an apocalyptic number.

It is an amenable number.

13004133 is a deficient number, since it is larger than the sum of its proper divisors (5828475).

13004133 is a wasteful number, since it uses less digits than its factorization.

13004133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

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

The square root of 13004133 is about 3606.1243738951. The cubic root of 13004133 is about 235.1583842505.

Adding to 13004133 its reverse (33140031), we get a palindrome (46144164).

The spelling of 13004133 in words is "thirteen million, four thousand, one hundred thirty-three".