11331122130300 has 1152 divisors, whose sum is σ = 41626775715840. Its totient is φ = 2321303961600.

The previous prime is 11331122130277. The next prime is 11331122130343. The reversal of 11331122130300 is 303122113311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9676448715 + ... + 9676449885.

It is an arithmetic number, because the mean of its divisors is an integer number (36134353920).

Almost surely, 2^{11331122130300} is an apocalyptic number.

11331122130300 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 11331122130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20813387857920).

11331122130300 is an abundant number, since it is smaller than the sum of its proper divisors (30295653585540).

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

11331122130300 is a wasteful number, since it uses less digits than its factorization.

11331122130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1404 counting only the distinct ones).

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

Adding to 11331122130300 its reverse (303122113311), we get a palindrome (11634244243611).

The spelling of 11331122130300 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred thirty thousand, three hundred".