11331131221332 has 96 divisors (see below), whose sum is σ = 32172993417600. Its totient is φ = 3427408636416.

The previous prime is 11331131221321. The next prime is 11331131221337. The reversal of 11331131221332 is 23312213113311.

11331131221332 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 11 + 312 + 2 + 1 + 332 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11331131221296 and 11331131221305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131221337) by changing a digit.

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, 68312133 + ... + 68477804.

It is an arithmetic number, because the mean of its divisors is an integer number (335135348100).

Almost surely, 2^{11331131221332} is an apocalyptic number.

11331131221332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331131221332 is an abundant number, since it is smaller than the sum of its proper divisors (20841862196268).

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

11331131221332 is a wasteful number, since it uses less digits than its factorization.

11331131221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136790022 (or 136790014 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11331131221332 its reverse (23312213113311), we get a palindrome (34643344334643).

The spelling of 11331131221332 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred thirty-two".