11331122033100 has 288 divisors, whose sum is σ = 34610869762560. Its totient is φ = 2856432015360.

The previous prime is 11331122033089. The next prime is 11331122033129. The reversal of 11331122033100 is 133022113311.

It is a happy number.

It is a super-2 number, since 2×11331122033100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2218740747 + ... + 2218745853.

It is an arithmetic number, because the mean of its divisors is an integer number (120176631120).

Almost surely, 2^{11331122033100} is an apocalyptic number.

11331122033100 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 11331122033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305434881280).

11331122033100 is an abundant number, since it is smaller than the sum of its proper divisors (23279747729460).

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

11331122033100 is a wasteful number, since it uses less digits than its factorization.

11331122033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331122033100 its reverse (133022113311), we get a palindrome (11464144146411).

The spelling of 11331122033100 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, thirty-three thousand, one hundred".