13311120 has 80 divisors (see below), whose sum is σ = 42408000. Its totient is φ = 3451392.

The previous prime is 13311113. The next prime is 13311127. The reversal of 13311120 is 2111331.

It is an interprime number because it is at equal distance from previous prime (13311113) and next prime (13311127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13311096 and 13311105.

It is not an unprimeable number, because it can be changed into a prime (13311127) 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, 8131 + ... + 9629.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 2^13311120 is an apocalyptic number.

13311120 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 13311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204000).

13311120 is an abundant number, since it is smaller than the sum of its proper divisors (29096880).

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

13311120 is a wasteful number, since it uses less digits than its factorization.

13311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 13311120 is about 3648.4407628465. The cubic root of 13311120 is about 236.9944630087.

Adding to 13311120 its reverse (2111331), we get a palindrome (15422451).

It can be divided in two parts, 13311 and 120, that added together give a palindrome (13431).

The spelling of 13311120 in words is "thirteen million, three hundred eleven thousand, one hundred twenty".