11131223300300 has 144 divisors (see below), whose sum is σ = 24870545683200. Its totient is φ = 4322473478400.

The previous prime is 11131223300291. The next prime is 11131223300311. The reversal of 11131223300300 is 300332213111.

It is a super-2 number, since 2×11131223300300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2262901241 + ... + 2262906159.

It is an arithmetic number, because the mean of its divisors is an integer number (172712122800).

Almost surely, 2^{11131223300300} is an apocalyptic number.

11131223300300 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 11131223300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435272841600).

11131223300300 is an abundant number, since it is smaller than the sum of its proper divisors (13739322382900).

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

11131223300300 is a wasteful number, since it uses less digits than its factorization.

11131223300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11131223300300 its reverse (300332213111), we get a palindrome (11431555513411).

The spelling of 11131223300300 in words is "eleven trillion, one hundred thirty-one billion, two hundred twenty-three million, three hundred thousand, three hundred".