113122331100 has 216 divisors, whose sum is σ = 383327184240. Its totient is φ = 27805731840.

The previous prime is 113122331093. The next prime is 113122331143. The reversal of 113122331100 is 1133221311.

113122331100 is a `hidden beast` number, since 1 + 131 + 223 + 311 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 543304 + ... + 722096.

It is an arithmetic number, because the mean of its divisors is an integer number (1774662890).

Almost surely, 2^113122331100 is an apocalyptic number.

113122331100 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 113122331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191663592120).

113122331100 is an abundant number, since it is smaller than the sum of its proper divisors (270204853140).

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

113122331100 is a wasteful number, since it uses less digits than its factorization.

113122331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178869 (or 178859 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113122331100 its reverse (1133221311), we get a palindrome (114255552411).

The spelling of 113122331100 in words is "one hundred thirteen billion, one hundred twenty-two million, three hundred thirty-one thousand, one hundred".