113312020100 has 72 divisors (see below), whose sum is σ = 252345807168. Its totient is φ = 44148700800.

The previous prime is 113312020093. The next prime is 113312020103. The reversal of 113312020100 is 1020213311.

It is a super-2 number, since 2×113312020100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113312020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538127 + ... + 718473.

Almost surely, 2^113312020100 is an apocalyptic number.

113312020100 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 113312020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126172903584).

113312020100 is an abundant number, since it is smaller than the sum of its proper divisors (139033787068).

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

113312020100 is a wasteful number, since it uses less digits than its factorization.

113312020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180525 (or 180518 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 113312020100 its reverse (1020213311), we get a palindrome (114332233411).

It can be divided in two parts, 113 and 312020100, that added together give a palindrome (312020213).

The spelling of 113312020100 in words is "one hundred thirteen billion, three hundred twelve million, twenty thousand, one hundred".