111013332331000 has 256 divisors, whose sum is σ = 289099290654720. Its totient is φ = 39561544960000.

The previous prime is 111013332330959. The next prime is 111013332331009. The reversal of 111013332331000 is 133233310111.

It is a super-2 number, since 2×111013332331000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111013332331009) 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, 130001424 + ... + 130852576.

It is an arithmetic number, because the mean of its divisors is an integer number (1129294104120).

Almost surely, 2^{111013332331000} is an apocalyptic number.

111013332331000 is a gapful number since it is divisible by the number (10) 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 111013332331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144549645327360).

111013332331000 is an abundant number, since it is smaller than the sum of its proper divisors (178085958323720).

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

111013332331000 is a wasteful number, since it uses less digits than its factorization.

111013332331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851423 (or 851409 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 111013332331000 its reverse (133233310111), we get a palindrome (111146565641111).

The spelling of 111013332331000 in words is "one hundred eleven trillion, thirteen billion, three hundred thirty-two million, three hundred thirty-one thousand".