13111144020 has 288 divisors, whose sum is σ = 45460396800. Its totient is φ = 3033980928.

The previous prime is 13111144019. The next prime is 13111144021. The reversal of 13111144020 is 2044111131.

13111144020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13111144019) and next prime (13111144021).

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 = 13111143984 and 13111144002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111144021) 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 95 ways as a sum of consecutive naturals, for example, 3173316 + ... + 3177444.

It is an arithmetic number, because the mean of its divisors is an integer number (157848600).

Almost surely, 2^13111144020 is an apocalyptic number.

13111144020 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 13111144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22730198400).

13111144020 is an abundant number, since it is smaller than the sum of its proper divisors (32349252780).

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

13111144020 is a wasteful number, since it uses less digits than its factorization.

13111144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13111144020 its reverse (2044111131), we get a palindrome (15155255151).

The spelling of 13111144020 in words is "thirteen billion, one hundred eleven million, one hundred forty-four thousand, twenty".