113241342312 has 192 divisors, whose sum is σ = 369298800000. Its totient is φ = 30623380992.

The previous prime is 113241342311. The next prime is 113241342323. The reversal of 113241342312 is 213243142311.

113241342312 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 1 + 342 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113241342311) 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 47 ways as a sum of consecutive naturals, for example, 11610814 + ... + 11620562.

It is an arithmetic number, because the mean of its divisors is an integer number (1923431250).

Almost surely, 2^113241342312 is an apocalyptic number.

113241342312 is a gapful number since it is divisible by the number (12) 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 113241342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184649400000).

113241342312 is an abundant number, since it is smaller than the sum of its proper divisors (256057457688).

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

113241342312 is a wasteful number, since it uses less digits than its factorization.

113241342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000 (or 10993 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 113241342312 its reverse (213243142311), we get a palindrome (326484484623).

The spelling of 113241342312 in words is "one hundred thirteen billion, two hundred forty-one million, three hundred forty-two thousand, three hundred twelve".