113313233111100 has 576 divisors, whose sum is σ = 378741838970880. Its totient is φ = 25895802240000.

The previous prime is 113313233111093. The next prime is 113313233111107. The reversal of 113313233111100 is 1111332313311.

113313233111100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113313233111093) and next prime (113313233111107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313233111107) 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 191 ways as a sum of consecutive naturals, for example, 18069400965 + ... + 18069407235.

It is an arithmetic number, because the mean of its divisors is an integer number (657537914880).

Almost surely, 2^{113313233111100} is an apocalyptic number.

113313233111100 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 113313233111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189370919485440).

113313233111100 is an abundant number, since it is smaller than the sum of its proper divisors (265428605859780).

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

113313233111100 is a wasteful number, since it uses less digits than its factorization.

113313233111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10762 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 113313233111100 its reverse (1111332313311), we get a palindrome (114424565424411).

The spelling of 113313233111100 in words is "one hundred thirteen trillion, three hundred thirteen billion, two hundred thirty-three million, one hundred eleven thousand, one hundred".