11321313312000 has 288 divisors, whose sum is σ = 37626964712064. Its totient is φ = 3017152512000.

The previous prime is 11321313311983. The next prime is 11321313312007. The reversal of 11321313312000 is 21331312311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321313312007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159036415 + ... + 159107585.

It is an arithmetic number, because the mean of its divisors is an integer number (130649183028).

Almost surely, 2^{11321313312000} is an apocalyptic number.

11321313312000 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 11321313312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813482356032).

11321313312000 is an abundant number, since it is smaller than the sum of its proper divisors (26305651400064).

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

11321313312000 is an equidigital number, since it uses as much as digits as its factorization.

11321313312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72862 (or 72838 counting only the distinct ones).

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

Adding to 11321313312000 its reverse (21331312311), we get a palindrome (11342644624311).

The spelling of 11321313312000 in words is "eleven trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred twelve thousand".