13313872 has 90 divisors (see below), whose sum is σ = 31920266. Its totient is φ = 5343360.

The previous prime is 13313863. The next prime is 13313879. The reversal of 13313872 is 27831331.

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 4096576 = 3036^2 + 2024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13313872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313879) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 578853 + ... + 578875.

Almost surely, 2^13313872 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 13313872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960133).

13313872 is an abundant number, since it is smaller than the sum of its proper divisors (18606394).

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

13313872 is a wasteful number, since it uses less digits than its factorization.

13313872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 13313872 is about 3648.8178907696. The cubic root of 13313872 is about 237.0107943121.

It can be divided in two parts, 1331 and 3872, that multiplied together give a 5-th power (5153632 = 22⁵).

The spelling of 13313872 in words is "thirteen million, three hundred thirteen thousand, eight hundred seventy-two".