11331321023304 has 384 divisors, whose sum is σ = 33875040326400. Its totient is φ = 3405892976640.

The previous prime is 11331321023203. The next prime is 11331321023339. The reversal of 11331321023304 is 40332012313311.

11331321023304 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 321 + 0 + 2 + 330 + 4 = 666.

It is a super-2 number, since 2×11331321023304² (a number of 27 digits) contains 22 as substring.

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, 9341566602 + ... + 9341567814.

It is an arithmetic number, because the mean of its divisors is an integer number (88216250850).

Almost surely, 2^{11331321023304} 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 11331321023304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16937520163200).

11331321023304 is an abundant number, since it is smaller than the sum of its proper divisors (22543719303096).

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

11331321023304 is a wasteful number, since it uses less digits than its factorization.

11331321023304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11331321023304 its reverse (40332012313311), we get a palindrome (51663333336615).

The spelling of 11331321023304 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-one million, twenty-three thousand, three hundred four".