13008038 has 12 divisors (see below), whose sum is σ = 19714020. Its totient is φ = 6437340.

The previous prime is 13008019. The next prime is 13008101. The reversal of 13008038 is 83080031.

It is a super-3 number, since 3×13008038³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 34133 + ... + 34511.

It is an arithmetic number, because the mean of its divisors is an integer number (1642835).

Almost surely, 2^13008038 is an apocalyptic number.

13008038 is a deficient number, since it is larger than the sum of its proper divisors (6705982).

13008038 is an equidigital number, since it uses as much as digits as its factorization.

13008038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13008038 is about 3606.6657732593. The cubic root of 13008038 is about 235.1819203983.

Adding to 13008038 its reverse (83080031), we get a palindrome (96088069).

The spelling of 13008038 in words is "thirteen million, eight thousand, thirty-eight".