11331100312 has 64 divisors (see below), whose sum is σ = 24739732800. Its totient is φ = 4765286400.

The previous prime is 11331100309. The next prime is 11331100331. The reversal of 11331100312 is 21300113311.

11331100312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630264 + ... + 647992.

It is an arithmetic number, because the mean of its divisors is an integer number (386558325).

Almost surely, 2^11331100312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369866400).

11331100312 is an abundant number, since it is smaller than the sum of its proper divisors (13408632488).

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

11331100312 is a wasteful number, since it uses less digits than its factorization.

11331100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17956 (or 17952 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11331100312 its reverse (21300113311), we get a palindrome (32631213623).

The spelling of 11331100312 in words is "eleven billion, three hundred thirty-one million, one hundred thousand, three hundred twelve".