13301008 has 40 divisors (see below), whose sum is σ = 29763968. Its totient is φ = 5640192.

The previous prime is 13300997. The next prime is 13301017. The reversal of 13301008 is 80010331.

It is a super-3 number, since 3×13301008³ (a number of 22 digits) contains 333 as substring.

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 = 13300982 and 13301000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10960 + ... + 12112.

Almost surely, 2^13301008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881984).

13301008 is an abundant number, since it is smaller than the sum of its proper divisors (16462960).

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

13301008 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (13301007) it forms an eRAP, since the sums of their prime factors are consecutive (1270 and 1271).

13301008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1265 counting only the distinct ones).

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

The square root of 13301008 is about 3647.0547020850. The cubic root of 13301008 is about 236.9344356253.

Adding to 13301008 its reverse (80010331), we get a palindrome (93311339).

The spelling of 13301008 in words is "thirteen million, three hundred one thousand, eight".