111332133003312 has 160 divisors (see below), whose sum is σ = 344196821035200. Its totient is φ = 34251015794688.

The previous prime is 111332133003283. The next prime is 111332133003313. The reversal of 111332133003312 is 213300331233111.

111332133003312 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 3 + 21 + 3 + 300 + 331 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (111332133003313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36923514 + ... + 39824742.

It is an arithmetic number, because the mean of its divisors is an integer number (2151230131470).

Almost surely, 2^{111332133003312} is an apocalyptic number.

111332133003312 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 111332133003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172098410517600).

111332133003312 is an abundant number, since it is smaller than the sum of its proper divisors (232864688031888).

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

111332133003312 is a wasteful number, since it uses less digits than its factorization.

111332133003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908092 (or 2908080 counting only the distinct ones).

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

Adding to 111332133003312 its reverse (213300331233111), we get a palindrome (324632464236423).

The spelling of 111332133003312 in words is "one hundred eleven trillion, three hundred thirty-two billion, one hundred thirty-three million, three thousand, three hundred twelve".