11331321023232 has 288 divisors, whose sum is σ = 38525011123200. Its totient is φ = 3218131648512.

The previous prime is 11331321023203. The next prime is 11331321023339. The reversal of 11331321023232 is 23232012313311.

11331321023232 is a `hidden beast` number, since 1 + 1 + 3 + 313 + 21 + 0 + 2 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11331321023232² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11331321023196 and 11331321023205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7378944 + ... + 8781312.

Almost surely, 2^{11331321023232} is an apocalyptic number.

11331321023232 is a gapful number since it is divisible by the number (12) 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 11331321023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262505561600).

11331321023232 is an abundant number, since it is smaller than the sum of its proper divisors (27193690099968).

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

11331321023232 is a wasteful number, since it uses less digits than its factorization.

11331321023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402568 (or 1402548 counting only the distinct ones).

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

Adding to 11331321023232 its reverse (23232012313311), we get a palindrome (34563333336543).

The spelling of 11331321023232 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-one million, twenty-three thousand, two hundred thirty-two".