11331123321330 has 96 divisors (see below), whose sum is σ = 30754744091136. Its totient is φ = 2889043420032.

The previous prime is 11331123321319. The next prime is 11331123321373. The reversal of 11331123321330 is 3312332113311.

11331123321330 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 1 + 2 + 3 + 321 + 330 = 666.

It is a super-2 number, since 2×11331123321330² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11331123321294 and 11331123321303.

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 47 ways as a sum of consecutive naturals, for example, 3784264 + ... + 6081356.

It is an arithmetic number, because the mean of its divisors is an integer number (320361917616).

Almost surely, 2^{11331123321330} is an apocalyptic number.

11331123321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331123321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377372045568).

11331123321330 is an abundant number, since it is smaller than the sum of its proper divisors (19423620769806).

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

11331123321330 is a wasteful number, since it uses less digits than its factorization.

11331123321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299512 (or 2299509 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11331123321330 its reverse (3312332113311), we get a palindrome (14643455434641).

The spelling of 11331123321330 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred thirty".