113340214424320 has 144 divisors (see below), whose sum is σ = 292390506737280. Its totient is φ = 41845574909952.

The previous prime is 113340214424231. The next prime is 113340214424323. The reversal of 113340214424320 is 23424412043311.

It is not an unprimeable number, because it can be changed into a prime (113340214424323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229201977 + ... + 229695943.

It is an arithmetic number, because the mean of its divisors is an integer number (2030489630120).

Almost surely, 2^{113340214424320} is an apocalyptic number.

113340214424320 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 113340214424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146195253368640).

113340214424320 is an abundant number, since it is smaller than the sum of its proper divisors (179050292312960).

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

113340214424320 is a wasteful number, since it uses less digits than its factorization.

113340214424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507790 (or 507776 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 113340214424320 its reverse (23424412043311), we get a palindrome (136764626467631).

The spelling of 113340214424320 in words is "one hundred thirteen trillion, three hundred forty billion, two hundred fourteen million, four hundred twenty-four thousand, three hundred twenty".