13013008 has 40 divisors (see below), whose sum is σ = 26139200. Its totient is φ = 6272640.

The previous prime is 13012999. The next prime is 13013023. The reversal of 13013008 is 80031031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13012982 and 13013000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65293 + ... + 65491.

It is an arithmetic number, because the mean of its divisors is an integer number (653480).

Almost surely, 2^13013008 is an apocalyptic number.

It is an amenable number.

13013008 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

13013008 is a wasteful number, since it uses less digits than its factorization.

13013008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13013008 is about 3607.3547094790. The cubic root of 13013008 is about 235.2118686839.

Adding to 13013008 its reverse (80031031), we get a palindrome (93044039).

The spelling of 13013008 in words is "thirteen million, thirteen thousand, eight".