111131203332006 has 128 divisors (see below), whose sum is σ = 290258336148480. Its totient is φ = 31072195123200.

The previous prime is 111131203332001. The next prime is 111131203332047. The reversal of 111131203332006 is 600233302131111.

111131203332006 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 3 + 120 + 333 + 200 + 6 = 666.

It is a super-3 number, since 3×111131203332006³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111131203332001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14731846 + ... + 20959238.

It is an arithmetic number, because the mean of its divisors is an integer number (2267643251160).

Almost surely, 2^{111131203332006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111131203332006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145129168074240).

111131203332006 is an abundant number, since it is smaller than the sum of its proper divisors (179127132816474).

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

111131203332006 is a wasteful number, since it uses less digits than its factorization.

111131203332006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6229739 (or 6229733 counting only the distinct ones).

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

Adding to 111131203332006 its reverse (600233302131111), we get a palindrome (711364505463117).

The spelling of 111131203332006 in words is "one hundred eleven trillion, one hundred thirty-one billion, two hundred three million, three hundred thirty-two thousand, six".