13312008 has 96 divisors (see below), whose sum is σ = 39124800. Its totient is φ = 4074624.

The previous prime is 13312001. The next prime is 13312021. The reversal of 13312008 is 80021331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13312001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50485 + ... + 50747.

It is an arithmetic number, because the mean of its divisors is an integer number (407550).

Almost surely, 2^13312008 is an apocalyptic number.

13312008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19562400).

13312008 is an abundant number, since it is smaller than the sum of its proper divisors (25812792).

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

13312008 is a wasteful number, since it uses less digits than its factorization.

13312008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13312008 is about 3648.5624566396. The cubic root of 13312008 is about 236.9997329485. Note that the first 3 decimals are identical.

Adding to 13312008 its reverse (80021331), we get a palindrome (93333339).

The spelling of 13312008 in words is "thirteen million, three hundred twelve thousand, eight".