11331123221106 has 96 divisors (see below), whose sum is σ = 27970684560000. Its totient is φ = 3286401237504.

The previous prime is 11331123221101. The next prime is 11331123221107. The reversal of 11331123221106 is 60112232113311.

11331123221106 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 23 + 221 + 106 = 666.

It is a super-2 number, since 2×11331123221106² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11331123221106.

It is not an unprimeable number, because it can be changed into a prime (11331123221101) 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, 5518791 + ... + 7288298.

It is an arithmetic number, because the mean of its divisors is an integer number (291361297500).

Almost surely, 2^{11331123221106} is an apocalyptic number.

11331123221106 is an abundant number, since it is smaller than the sum of its proper divisors (16639561338894).

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

11331123221106 is a wasteful number, since it uses less digits than its factorization.

11331123221106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12807328 (or 12807325 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 11331123221106 its reverse (60112232113311), we get a palindrome (71443355334417).

The spelling of 11331123221106 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred six".