13333320 has 384 divisors, whose sum is σ = 59754240. Its totient is φ = 2488320.

The previous prime is 13333291. The next prime is 13333339. The reversal of 13333320 is 2333331.

13333320 is a `hidden beast` number, since 1 + 333 + 332 + 0 = 666.

13333320 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13333293 and 13333302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360342 + ... + 360378.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 2^13333320 is an apocalyptic number.

13333320 is a gapful number since it is divisible by the number (10) 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 13333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

13333320 is an abundant number, since it is smaller than the sum of its proper divisors (46420920).

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

13333320 is a wasteful number, since it uses less digits than its factorization.

13333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 13333320 is about 3651.4818909588. The cubic root of 13333320 is about 237.1261412572.

Adding to 13333320 its reverse (2333331), we get a palindrome (15666651).

It can be divided in two parts, 13 and 333320, that added together give a palindrome (333333).

The spelling of 13333320 in words is "thirteen million, three hundred thirty-three thousand, three hundred twenty".