11103313221000 has 2304 divisors, whose sum is σ = 53196391422720. Its totient is φ = 2129379840000.

The previous prime is 11103313220969. The next prime is 11103313221001. The reversal of 11103313221000 is 12231330111.

11103313221000 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 331 + 322 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11103313221001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1702697740 + ... + 1702704260.

It is an arithmetic number, because the mean of its divisors is an integer number (23088711555).

Almost surely, 2^{11103313221000} is an apocalyptic number.

11103313221000 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 11103313221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598195711360).

11103313221000 is an abundant number, since it is smaller than the sum of its proper divisors (42093078201720).

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

11103313221000 is a wasteful number, since it uses less digits than its factorization.

11103313221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595 (or 6562 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11103313221000 its reverse (12231330111), we get a palindrome (11115544551111).

The spelling of 11103313221000 in words is "eleven trillion, one hundred three billion, three hundred thirteen million, two hundred twenty-one thousand".