13111113120 has 192 divisors, whose sum is σ = 47355549696. Its totient is φ = 2986951680.

The previous prime is 13111113073. The next prime is 13111113149. The reversal of 13111113120 is 2131111131.

It is a super-2 number, since 2×13111113120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13111113120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1038687 + ... + 1051233.

It is an arithmetic number, because the mean of its divisors is an integer number (246643488).

Almost surely, 2^13111113120 is an apocalyptic number.

13111113120 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 13111113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677774848).

13111113120 is an abundant number, since it is smaller than the sum of its proper divisors (34244436576).

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

13111113120 is a wasteful number, since it uses less digits than its factorization.

13111113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12883 (or 12875 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 13111113120 its reverse (2131111131), we get a palindrome (15242224251).

The spelling of 13111113120 in words is "thirteen billion, one hundred eleven million, one hundred thirteen thousand, one hundred twenty".