11331131311332 has 144 divisors (see below), whose sum is σ = 33866142710400. Its totient is φ = 3125553177600.

The previous prime is 11331131311309. The next prime is 11331131311349. The reversal of 11331131311332 is 23311313113311.

11331131311332 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 1 + 313 + 11 + 332 = 666.

It is a super-2 number, since 2×11331131311332² (a number of 27 digits) contains 22 as substring.

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 = 11331131311296 and 11331131311305.

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 47 ways as a sum of consecutive naturals, for example, 90929644 + ... + 91054172.

It is an arithmetic number, because the mean of its divisors is an integer number (235181546600).

Almost surely, 2^{11331131311332} is an apocalyptic number.

11331131311332 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 11331131311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16933071355200).

11331131311332 is an abundant number, since it is smaller than the sum of its proper divisors (22535011399068).

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

11331131311332 is a wasteful number, since it uses less digits than its factorization.

11331131311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137026 (or 137021 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 11331131311332 its reverse (23311313113311), we get a palindrome (34642444424643).

The spelling of 11331131311332 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred eleven thousand, three hundred thirty-two".