113344412210032 has 160 divisors (see below), whose sum is σ = 240253833074112. Its totient is φ = 51590170017792.

The previous prime is 113344412210027. The next prime is 113344412210033. The reversal of 113344412210032 is 230012214443311.

It is a happy number.

It is a super-2 number, since 2×113344412210032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113344412209976 and 113344412210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113344412210033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476242428 + ... + 1476319204.

Almost surely, 2^{113344412210032} 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 113344412210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120126916537056).

113344412210032 is an abundant number, since it is smaller than the sum of its proper divisors (126909420864080).

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

113344412210032 is a wasteful number, since it uses less digits than its factorization.

113344412210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78075 (or 78069 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 113344412210032 its reverse (230012214443311), we get a palindrome (343356626653343).

The spelling of 113344412210032 in words is "one hundred thirteen trillion, three hundred forty-four billion, four hundred twelve million, two hundred ten thousand, thirty-two".