13311123120 has 80 divisors (see below), whose sum is σ = 45849431520. Its totient is φ = 3549632256.

The previous prime is 13311123107. The next prime is 13311123121. The reversal of 13311123120 is 2132111331.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13311123093 and 13311123102.

It is not an unprimeable number, because it can be changed into a prime (13311123121) 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, 3079119 + ... + 3083438.

It is an arithmetic number, because the mean of its divisors is an integer number (573117894).

Almost surely, 2^13311123120 is an apocalyptic number.

13311123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311123120 is an abundant number, since it is smaller than the sum of its proper divisors (32538308400).

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

13311123120 is a wasteful number, since it uses less digits than its factorization.

13311123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162579 (or 6162567 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13311123120 its reverse (2132111331), we get a palindrome (15443234451).

The spelling of 13311123120 in words is "thirteen billion, three hundred eleven million, one hundred twenty-three thousand, one hundred twenty".