113322312121100 has 144 divisors (see below), whose sum is σ = 262575888650880. Its totient is φ = 42327797529600.

The previous prime is 113322312121097. The next prime is 113322312121133. The reversal of 113322312121100 is 1121213223311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67454315 + ... + 69113885.

Almost surely, 2^{113322312121100} is an apocalyptic number.

113322312121100 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 113322312121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131287944325440).

113322312121100 is an abundant number, since it is smaller than the sum of its proper divisors (149253576529780).

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

113322312121100 is a wasteful number, since it uses less digits than its factorization.

113322312121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660120 (or 1660113 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 113322312121100 its reverse (1121213223311), we get a palindrome (114443525344411).

The spelling of 113322312121100 in words is "one hundred thirteen trillion, three hundred twenty-two billion, three hundred twelve million, one hundred twenty-one thousand, one hundred".