13113321311112 has 256 divisors, whose sum is σ = 38072764800000. Its totient is φ = 3721982607360.

The previous prime is 13113321311081. The next prime is 13113321311117. The reversal of 13113321311112 is 21111312331131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13113321311117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495783264 + ... + 495809712.

It is an arithmetic number, because the mean of its divisors is an integer number (148721737500).

Almost surely, 2^{13113321311112} is an apocalyptic number.

13113321311112 is a gapful number since it is divisible by the number (12) 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 13113321311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036382400000).

13113321311112 is an abundant number, since it is smaller than the sum of its proper divisors (24959443488888).

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

13113321311112 is a wasteful number, since it uses less digits than its factorization.

13113321311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27604 (or 27600 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

Adding to 13113321311112 its reverse (21111312331131), we get a palindrome (34224633642243).

The spelling of 13113321311112 in words is "thirteen trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred eleven thousand, one hundred twelve".