113224401441140 has 192 divisors, whose sum is σ = 264368408629248. Its totient is φ = 40387122547200.

The previous prime is 113224401441103. The next prime is 113224401441149. The reversal of 113224401441140 is 41144104422311.

It is a junction number, because it is equal to n+sod(n) for n = 113224401441097 and 113224401441106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113224401441149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8959746902 + ... + 8959759538.

It is an arithmetic number, because the mean of its divisors is an integer number (1376918794944).

Almost surely, 2^{113224401441140} is an apocalyptic number.

113224401441140 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 113224401441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132184204314624).

113224401441140 is an abundant number, since it is smaller than the sum of its proper divisors (151144007188108).

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

113224401441140 is a wasteful number, since it uses less digits than its factorization.

113224401441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15238 (or 15236 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 113224401441140 its reverse (41144104422311), we get a palindrome (154368505863451).

The spelling of 113224401441140 in words is "one hundred thirteen trillion, two hundred twenty-four billion, four hundred one million, four hundred forty-one thousand, one hundred forty".