13813308 has 48 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 4543344.

The previous prime is 13813307. The next prime is 13813313. The reversal of 13813308 is 80331831.

13813308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7723 + ... + 9341.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^13813308 is an apocalyptic number.

13813308 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 13813308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13813308 is an abundant number, since it is smaller than the sum of its proper divisors (22474692).

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

13813308 is a wasteful number, since it uses less digits than its factorization.

13813308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13813308 is about 3716.6258891634. The cubic root of 13813308 is about 239.9381090410.

The spelling of 13813308 in words is "thirteen million, eight hundred thirteen thousand, three hundred eight".