112441313130 has 128 divisors (see below), whose sum is σ = 292249824768. Its totient is φ = 27581079552.

The previous prime is 112441313041. The next prime is 112441313161. The reversal of 112441313130 is 31313144211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112441313130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7100982 + ... + 7116798.

It is an arithmetic number, because the mean of its divisors is an integer number (2283201756).

Almost surely, 2^112441313130 is an apocalyptic number.

112441313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112441313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146124912384).

112441313130 is an abundant number, since it is smaller than the sum of its proper divisors (179808511638).

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

112441313130 is a wasteful number, since it uses less digits than its factorization.

112441313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 112441313130 its reverse (31313144211), we get a palindrome (143754457341).

The spelling of 112441313130 in words is "one hundred twelve billion, four hundred forty-one million, three hundred thirteen thousand, one hundred thirty".