1113334340100 has 576 divisors, whose sum is σ = 3615905567232. Its totient is φ = 263208960000.

The previous prime is 1113334340029. The next prime is 1113334340149. The reversal of 1113334340100 is 10434333111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1168241224 + ... + 1168242176.

It is an arithmetic number, because the mean of its divisors is an integer number (6277613832).

Almost surely, 2^{1113334340100} is an apocalyptic number.

1113334340100 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 1113334340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807952783616).

1113334340100 is an abundant number, since it is smaller than the sum of its proper divisors (2502571227132).

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

1113334340100 is a wasteful number, since it uses less digits than its factorization.

1113334340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1113334340100 its reverse (10434333111), we get a palindrome (1123768673211).

The spelling of 1113334340100 in words is "one trillion, one hundred thirteen billion, three hundred thirty-four million, three hundred forty thousand, one hundred".