111323000132100 has 432 divisors, whose sum is σ = 364557859834896. Its totient is φ = 28388966400000.

The previous prime is 111323000132083. The next prime is 111323000132161. The reversal of 111323000132100 is 1231000323111.

111323000132100 is a `hidden beast` number, since 1 + 1 + 132 + 300 + 0 + 132 + 100 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 16023544655364 + 95299455476736 = 4002942^2 + 9762144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 460651300 + ... + 460892900.

It is an arithmetic number, because the mean of its divisors is an integer number (843883934803).

Almost surely, 2^{111323000132100} is an apocalyptic number.

111323000132100 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 111323000132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182278929917448).

111323000132100 is an abundant number, since it is smaller than the sum of its proper divisors (253234859702796).

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

111323000132100 is a wasteful number, since it uses less digits than its factorization.

111323000132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241896 (or 241886 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111323000132100 its reverse (1231000323111), we get a palindrome (112554000455211).

The spelling of 111323000132100 in words is "one hundred eleven trillion, three hundred twenty-three billion, one hundred thirty-two thousand, one hundred".