11013112313112 has 192 divisors, whose sum is σ = 34078828032000. Its totient is φ = 2904033779712.

The previous prime is 11013112313053. The next prime is 11013112313113. The reversal of 11013112313112 is 21131321131011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013112313113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172563064 + ... + 172626872.

It is an arithmetic number, because the mean of its divisors is an integer number (177493896000).

Almost surely, 2^{11013112313112} is an apocalyptic number.

11013112313112 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 11013112313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039414016000).

11013112313112 is an abundant number, since it is smaller than the sum of its proper divisors (23065715718888).

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

11013112313112 is a wasteful number, since it uses less digits than its factorization.

11013112313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69930 (or 69913 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 11013112313112 its reverse (21131321131011), we get a palindrome (32144433444123).

The spelling of 11013112313112 in words is "eleven trillion, thirteen billion, one hundred twelve million, three hundred thirteen thousand, one hundred twelve".