113011322200100 has 36 divisors (see below), whose sum is σ = 259660132070724. Its totient is φ = 42545438945280.

The previous prime is 113011322200037. The next prime is 113011322200109. The reversal of 113011322200100 is 1002223110311.

It can be written as a sum of positive squares in 6 ways, for example, as 5090140625956 + 107921181574144 = 2256134^2 + 10388512^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (113011322200109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 33238622477 + ... + 33238625876.

It is an arithmetic number, because the mean of its divisors is an integer number (7212781446409).

Almost surely, 2^{113011322200100} is an apocalyptic number.

113011322200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113011322200100 is an abundant number, since it is smaller than the sum of its proper divisors (146648809870624).

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

113011322200100 is a wasteful number, since it uses less digits than its factorization.

113011322200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66477248384 (or 66477248377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 113011322200100 its reverse (1002223110311), we get a palindrome (114013545310411).

The spelling of 113011322200100 in words is "one hundred thirteen trillion, eleven billion, three hundred twenty-two million, two hundred thousand, one hundred".