113233134003440 has 320 divisors, whose sum is σ = 321412538280960. Its totient is φ = 36608503726080.

The previous prime is 113233134003427. The next prime is 113233134003449. The reversal of 113233134003440 is 44300431332311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113233134003397 and 113233134003406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113233134003449) 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, 17603864 + ... + 23159496.

It is an arithmetic number, because the mean of its divisors is an integer number (1004414182128).

Almost surely, 2^{113233134003440} is an apocalyptic number.

113233134003440 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 113233134003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160706269140480).

113233134003440 is an abundant number, since it is smaller than the sum of its proper divisors (208179404277520).

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

113233134003440 is a wasteful number, since it uses less digits than its factorization.

113233134003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555752 (or 5555746 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 113233134003440 its reverse (44300431332311), we get a palindrome (157533565335751).

The spelling of 113233134003440 in words is "one hundred thirteen trillion, two hundred thirty-three billion, one hundred thirty-four million, three thousand, four hundred forty".