11331131323200 has 672 divisors, whose sum is σ = 42833458899840. Its totient is φ = 2599066828800.

The previous prime is 11331131323199. The next prime is 11331131323207. The reversal of 11331131323200 is 232313113311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131323207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72243262 + ... + 72399938.

It is an arithmetic number, because the mean of its divisors is an integer number (63740266220).

Almost surely, 2^{11331131323200} is an apocalyptic number.

11331131323200 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 11331131323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21416729449920).

11331131323200 is an abundant number, since it is smaller than the sum of its proper divisors (31502327576640).

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

11331131323200 is a wasteful number, since it uses less digits than its factorization.

11331131323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156795 (or 156780 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11331131323200 its reverse (232313113311), we get a palindrome (11563444436511).

The spelling of 11331131323200 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twenty-three thousand, two hundred".