113003443042344 has 512 divisors, whose sum is σ = 345472936704000. Its totient is φ = 34065742233600.

The previous prime is 113003443042309. The next prime is 113003443042349. The reversal of 113003443042344 is 443240344300311.

113003443042344 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 3 + 4 + 4 + 304 + 2 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113003443042299 and 113003443042308.

It is not an unprimeable number, because it can be changed into a prime (113003443042349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27488064849 + ... + 27488068959.

It is an arithmetic number, because the mean of its divisors is an integer number (674751829500).

Almost surely, 2^{113003443042344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113003443042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172736468352000).

113003443042344 is an abundant number, since it is smaller than the sum of its proper divisors (232469493661656).

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

113003443042344 is a wasteful number, since it uses less digits than its factorization.

113003443042344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 113003443042344 its reverse (443240344300311), we get a palindrome (556243787342655).

The spelling of 113003443042344 in words is "one hundred thirteen trillion, three billion, four hundred forty-three million, forty-two thousand, three hundred forty-four".