11101323331120 has 160 divisors (see below), whose sum is σ = 28264035271680. Its totient is φ = 4021527121920.

The previous prime is 11101323331103. The next prime is 11101323331121. The reversal of 11101323331120 is 2113332310111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11101323331091 and 11101323331100.

It is not an unprimeable number, because it can be changed into a prime (11101323331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252183352 + ... + 252227368.

It is an arithmetic number, because the mean of its divisors is an integer number (176650220448).

Almost surely, 2^{11101323331120} is an apocalyptic number.

11101323331120 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 11101323331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132017635840).

11101323331120 is an abundant number, since it is smaller than the sum of its proper divisors (17162711940560).

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

11101323331120 is a wasteful number, since it uses less digits than its factorization.

11101323331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45123 (or 45117 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11101323331120 its reverse (2113332310111), we get a palindrome (13214655641231).

The spelling of 11101323331120 in words is "eleven trillion, one hundred one billion, three hundred twenty-three million, three hundred thirty-one thousand, one hundred twenty".