113535042353232 has 320 divisors, whose sum is σ = 312331049533440. Its totient is φ = 35485657804800.

The previous prime is 113535042353197. The next prime is 113535042353251. The reversal of 113535042353232 is 232353240535311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5479744569 + ... + 5479765287.

It is an arithmetic number, because the mean of its divisors is an integer number (976034529792).

Almost surely, 2^{113535042353232} is an apocalyptic number.

113535042353232 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 113535042353232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156165524766720).

113535042353232 is an abundant number, since it is smaller than the sum of its proper divisors (198796007180208).

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

113535042353232 is a wasteful number, since it uses less digits than its factorization.

113535042353232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21722 (or 21716 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 42.

Adding to 113535042353232 its reverse (232353240535311), we get a palindrome (345888282888543).

The spelling of 113535042353232 in words is "one hundred thirteen trillion, five hundred thirty-five billion, forty-two million, three hundred fifty-three thousand, two hundred thirty-two".