13312718208 has 96 divisors (see below), whose sum is σ = 38335190400. Its totient is φ = 4434508800.

The previous prime is 13312718203. The next prime is 13312718233. The reversal of 13312718208 is 80281721331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13312718208² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312718203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2186913 + ... + 2192991.

It is an arithmetic number, because the mean of its divisors is an integer number (399324900).

Almost surely, 2^13312718208 is an apocalyptic number.

13312718208 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 13312718208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167595200).

13312718208 is an abundant number, since it is smaller than the sum of its proper divisors (25022472192).

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

13312718208 is a wasteful number, since it uses less digits than its factorization.

13312718208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13312718208 in words is "thirteen billion, three hundred twelve million, seven hundred eighteen thousand, two hundred eight".