113011213120 has 112 divisors (see below), whose sum is σ = 295277225040. Its totient is φ = 40939831296.

The previous prime is 113011213109. The next prime is 113011213129. The reversal of 113011213120 is 21312110311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2074255936 + 110936957184 = 45544^2 + 333072^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113011213094 and 113011213103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113011213129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35805 + ... + 476764.

It is an arithmetic number, because the mean of its divisors is an integer number (2636403795).

Almost surely, 2^113011213120 is an apocalyptic number.

113011213120 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 113011213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147638612520).

113011213120 is an abundant number, since it is smaller than the sum of its proper divisors (182266011920).

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

113011213120 is a wasteful number, since it uses less digits than its factorization.

113011213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512652 (or 512642 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113011213120 its reverse (21312110311), we get a palindrome (134323323431).

The spelling of 113011213120 in words is "one hundred thirteen billion, eleven million, two hundred thirteen thousand, one hundred twenty".