11331100000000 has 324 divisors, whose sum is σ = 30845620925784. Its totient is φ = 4120000000000.

The previous prime is 11331099999991. The next prime is 11331100000013. The reversal of 11331100000000 is 113311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1099994850 + ... + 1100005150.

Almost surely, 2^{11331100000000} is an apocalyptic number.

11331100000000 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 11331100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422810462892).

11331100000000 is an abundant number, since it is smaller than the sum of its proper divisors (19514520925784).

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

11331100000000 is an frugal number, since it uses more digits than its factorization.

11331100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11331100000000 its reverse (113311), we get a palindrome (11331100113311).

11331100000000 divided by its reverse (113311) gives a 8-th power (100000000 = 10⁸).

It can be divided in two parts, 113 and 31100000000, that added together give a palindrome (31100000113).

The spelling of 11331100000000 in words is "eleven trillion, three hundred thirty-one billion, one hundred million", and thus it is an aban number.