13310948 has 36 divisors (see below), whose sum is σ = 27382572. Its totient is φ = 5644800.

The previous prime is 13310939. The next prime is 13310989. The reversal of 13310948 is 84901331.

It can be written as a sum of positive squares in 2 ways, for example, as 4831204 + 8479744 = 2198^2 + 2912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13310948.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21848 + ... + 22448.

It is an arithmetic number, because the mean of its divisors is an integer number (760627).

Almost surely, 2^13310948 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 13310948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13691286).

13310948 is an abundant number, since it is smaller than the sum of its proper divisors (14071624).

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

13310948 is a wasteful number, since it uses less digits than its factorization.

13310948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 13310948 is about 3648.4171910570. The cubic root of 13310948 is about 236.9934422275.

The spelling of 13310948 in words is "thirteen million, three hundred ten thousand, nine hundred forty-eight".