112013133120 has 448 divisors, whose sum is σ = 459277516800. Its totient is φ = 25168250880.

The previous prime is 112013133091. The next prime is 112013133137. The reversal of 112013133120 is 21331310211.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 112013133093 and 112013133102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3552625 + ... + 3584015.

Almost surely, 2^112013133120 is an apocalyptic number.

112013133120 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 112013133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229638758400).

112013133120 is an abundant number, since it is smaller than the sum of its proper divisors (347264383680).

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

112013133120 is a wasteful number, since it uses less digits than its factorization.

112013133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31483 (or 31467 counting only the distinct ones).

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

Adding to 112013133120 its reverse (21331310211), we get a palindrome (133344443331).

The spelling of 112013133120 in words is "one hundred twelve billion, thirteen million, one hundred thirty-three thousand, one hundred twenty".