11331330023304 has 128 divisors (see below), whose sum is σ = 32335035148800. Its totient is φ = 3674068968960.

The previous prime is 11331330023261. The next prime is 11331330023311. The reversal of 11331330023304 is 40332003313311.

11331330023304 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 330 + 0 + 23 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 30834289 + ... + 31199615.

It is an arithmetic number, because the mean of its divisors is an integer number (252617462100).

Almost surely, 2^{11331330023304} 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 11331330023304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167517574400).

11331330023304 is an abundant number, since it is smaller than the sum of its proper divisors (21003705125496).

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

11331330023304 is a wasteful number, since it uses less digits than its factorization.

11331330023304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369260 (or 369250 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11331330023304 its reverse (40332003313311), we get a palindrome (51663333336615).

The spelling of 11331330023304 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty million, twenty-three thousand, three hundred four".