11334231300000 has 576 divisors, whose sum is σ = 42671956819968. Its totient is φ = 2580240000000.

The previous prime is 11334231299999. The next prime is 11334231300113. The reversal of 11334231300000 is 313243311.

11334231300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11334231300000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527089249 + ... + 527110751.

It is an arithmetic number, because the mean of its divisors is an integer number (74083258368).

Almost surely, 2^{11334231300000} is an apocalyptic number.

11334231300000 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 11334231300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21335978409984).

11334231300000 is an abundant number, since it is smaller than the sum of its proper divisors (31337725519968).

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

11334231300000 is an equidigital number, since it uses as much as digits as its factorization.

11334231300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21799 (or 21771 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11334231300000 its reverse (313243311), we get a palindrome (11334544543311).

The spelling of 11334231300000 in words is "eleven trillion, three hundred thirty-four billion, two hundred thirty-one million, three hundred thousand".