1113312311100 has 288 divisors, whose sum is σ = 3953896934400. Its totient is φ = 266476953600.

The previous prime is 1113312311071. The next prime is 1113312311113. The reversal of 1113312311100 is 11132133111.

1113312311100 is a `hidden beast` number, since 1 + 1 + 1 + 331 + 231 + 1 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2109052 + ... + 2583548.

It is an arithmetic number, because the mean of its divisors is an integer number (13728808800).

Almost surely, 2^{1113312311100} is an apocalyptic number.

1113312311100 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 1113312311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976948467200).

1113312311100 is an abundant number, since it is smaller than the sum of its proper divisors (2840584623300).

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

1113312311100 is a wasteful number, since it uses less digits than its factorization.

1113312311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474610 (or 474597 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1113312311100 its reverse (11132133111), we get a palindrome (1124444444211).

The spelling of 1113312311100 in words is "one trillion, one hundred thirteen billion, three hundred twelve million, three hundred eleven thousand, one hundred".