13311121120 has 96 divisors (see below), whose sum is σ = 34534273536. Its totient is φ = 4808256000.

The previous prime is 13311121111. The next prime is 13311121199. The reversal of 13311121120 is 2112111331.

It is a happy number.

13311121120 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 13311121094 and 13311121103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240717 + ... + 290803.

It is an arithmetic number, because the mean of its divisors is an integer number (359732016).

Almost surely, 2^13311121120 is an apocalyptic number.

13311121120 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 13311121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267136768).

13311121120 is an abundant number, since it is smaller than the sum of its proper divisors (21223152416).

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

13311121120 is a wasteful number, since it uses less digits than its factorization.

13311121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50264 (or 50256 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13311121120 its reverse (2112111331), we get a palindrome (15423232451).

It can be divided in two parts, 13311 and 121120, that added together give a palindrome (134431).

The spelling of 13311121120 in words is "thirteen billion, three hundred eleven million, one hundred twenty-one thousand, one hundred twenty".