13111031110320 has 960 divisors, whose sum is σ = 53014571850240. Its totient is φ = 2861236224000.

The previous prime is 13111031110279. The next prime is 13111031110321. The reversal of 13111031110320 is 2301113011131.

13111031110320 is a `hidden beast` number, since 1 + 3 + 11 + 10 + 311 + 10 + 320 = 666.

13111031110320 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13111031110293 and 13111031110302.

It is not an unprimeable number, because it can be changed into a prime (13111031110321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3404576395 + ... + 3404580245.

It is an arithmetic number, because the mean of its divisors is an integer number (55223512344).

Almost surely, 2^{13111031110320} is an apocalyptic number.

13111031110320 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 13111031110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26507285925120).

13111031110320 is an abundant number, since it is smaller than the sum of its proper divisors (39903540739920).

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

13111031110320 is a wasteful number, since it uses less digits than its factorization.

13111031110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13111031110320 its reverse (2301113011131), we get a palindrome (15412144121451).

The spelling of 13111031110320 in words is "thirteen trillion, one hundred eleven billion, thirty-one million, one hundred ten thousand, three hundred twenty".