113123223122100 has 144 divisors (see below), whose sum is σ = 330753295225920. Its totient is φ = 29848589568000.

The previous prime is 113123223122087. The next prime is 113123223122131. The reversal of 113123223122100 is 1221322321311.

It is a congruent number.

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, 46661484 + ... + 49025916.

Almost surely, 2^{113123223122100} is an apocalyptic number.

113123223122100 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 113123223122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165376647612960).

113123223122100 is an abundant number, since it is smaller than the sum of its proper divisors (217630072103820).

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

113123223122100 is a wasteful number, since it uses less digits than its factorization.

113123223122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366130 (or 2366123 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 113123223122100 its reverse (1221322321311), we get a palindrome (114344545443411).

The spelling of 113123223122100 in words is "one hundred thirteen trillion, one hundred twenty-three billion, two hundred twenty-three million, one hundred twenty-two thousand, one hundred".