113111030100 has 144 divisors (see below), whose sum is σ = 333923627520. Its totient is φ = 29554761600.

The previous prime is 113111030099. The next prime is 113111030101. The reversal of 113111030100 is 1030111311.

It is an interprime number because it is at equal distance from previous prime (113111030099) and next prime (113111030101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113111030101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3455611 + ... + 3488189.

It is an arithmetic number, because the mean of its divisors is an integer number (2318914080).

Almost surely, 2^113111030100 is an apocalyptic number.

113111030100 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 113111030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166961813760).

113111030100 is an abundant number, since it is smaller than the sum of its proper divisors (220812597420).

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

113111030100 is a wasteful number, since it uses less digits than its factorization.

113111030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32830 (or 32823 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 113111030100 its reverse (1030111311), we get a palindrome (114141141411).

The spelling of 113111030100 in words is "one hundred thirteen billion, one hundred eleven million, thirty thousand, one hundred".