1331312333112 has 24 divisors (see below), whose sum is σ = 3605637569040. Its totient is φ = 443770777680.

The previous prime is 1331312333107. The next prime is 1331312333161. The reversal of 1331312333112 is 2113332131331.

1331312333112 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 312 + 3 + 331 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1331312333112² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 9245224464 + ... + 9245224607.

It is an arithmetic number, because the mean of its divisors is an integer number (150234898710).

Almost surely, 2^{1331312333112} is an apocalyptic number.

1331312333112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331312333112 is an abundant number, since it is smaller than the sum of its proper divisors (2274325235928).

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

1331312333112 is a wasteful number, since it uses less digits than its factorization.

1331312333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490449083 (or 18490449076 counting only the distinct ones).

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

Adding to 1331312333112 its reverse (2113332131331), we get a palindrome (3444644464443).

The spelling of 1331312333112 in words is "one trillion, three hundred thirty-one billion, three hundred twelve million, three hundred thirty-three thousand, one hundred twelve".