113312011123300 has 144 divisors (see below), whose sum is σ = 269534408693760. Its totient is φ = 41005944144000.

The previous prime is 113312011123253. The next prime is 113312011123327. The reversal of 113312011123300 is 3321110213311.

It is a super-2 number, since 2×113312011123300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 264200431 + ... + 264628969.

It is an arithmetic number, because the mean of its divisors is an integer number (1871766727040).

Almost surely, 2^{113312011123300} is an apocalyptic number.

113312011123300 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 113312011123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134767204346880).

113312011123300 is an abundant number, since it is smaller than the sum of its proper divisors (156222397570460).

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

113312011123300 is a wasteful number, since it uses less digits than its factorization.

113312011123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429722 (or 429715 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 113312011123300 its reverse (3321110213311), we get a palindrome (116633121336611).

The spelling of 113312011123300 in words is "one hundred thirteen trillion, three hundred twelve billion, eleven million, one hundred twenty-three thousand, three hundred".