13111033120 has 24 divisors (see below), whose sum is σ = 30974816124. Its totient is φ = 5244413184.

The previous prime is 13111033073. The next prime is 13111033123. The reversal of 13111033120 is 2133011131.

13111033120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11834828944 + 1276204176 = 108788^2 + 35724^2 .

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 = 13111033094 and 13111033103.

It is not an unprimeable number, because it can be changed into a prime (13111033123) 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 3 ways as a sum of consecutive naturals, for example, 40971819 + ... + 40972138.

Almost surely, 2^13111033120 is an apocalyptic number.

13111033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111033120 is an abundant number, since it is smaller than the sum of its proper divisors (17863783004).

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

13111033120 is an equidigital number, since it uses as much as digits as its factorization.

13111033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81943972 (or 81943964 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13111033120 its reverse (2133011131), we get a palindrome (15244044251).

The spelling of 13111033120 in words is "thirteen billion, one hundred eleven million, thirty-three thousand, one hundred twenty".