13111322120 has 64 divisors (see below), whose sum is σ = 31836672000. Its totient is φ = 4830905088.

The previous prime is 13111322113. The next prime is 13111322129. The reversal of 13111322120 is 2122311131.

13111322120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13111322129) by changing a digit.

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, 222761 + ... + 275399.

It is an arithmetic number, because the mean of its divisors is an integer number (497448000).

Almost surely, 2^13111322120 is an apocalyptic number.

13111322120 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 13111322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918336000).

13111322120 is an abundant number, since it is smaller than the sum of its proper divisors (18725349880).

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

13111322120 is a wasteful number, since it uses less digits than its factorization.

13111322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53142 (or 53138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13111322120 its reverse (2122311131), we get a palindrome (15233633251).

The spelling of 13111322120 in words is "thirteen billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twenty".