11113310220000 has 240 divisors, whose sum is σ = 36637104873600. Its totient is φ = 2948654016000.

The previous prime is 11113310219959. The next prime is 11113310220007. The reversal of 11113310220000 is 2201331111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113310220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11474619 + ... + 12405381.

It is an arithmetic number, because the mean of its divisors is an integer number (152654603640).

Almost surely, 2^{11113310220000} is an apocalyptic number.

11113310220000 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 11113310220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18318552436800).

11113310220000 is an abundant number, since it is smaller than the sum of its proper divisors (25523794653600).

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

11113310220000 is an equidigital number, since it uses as much as digits as its factorization.

11113310220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930995 (or 930972 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11113310220000 its reverse (2201331111), we get a palindrome (11115511551111).

Subtracting from 11113310220000 its reverse (2201331111), we obtain a square (11111108888889 = 3333333²).

The spelling of 11113310220000 in words is "eleven trillion, one hundred thirteen billion, three hundred ten million, two hundred twenty thousand".