113200324314 has 128 divisors (see below), whose sum is σ = 298078341120. Its totient is φ = 27765504000.

The previous prime is 113200324301. The next prime is 113200324337. The reversal of 113200324314 is 413423002311.

It is a happy number.

It is a Curzon 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, 2726914 + ... + 2768114.

It is an arithmetic number, because the mean of its divisors is an integer number (2328737040).

Almost surely, 2^113200324314 is an apocalyptic number.

113200324314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113200324314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149039170560).

113200324314 is an abundant number, since it is smaller than the sum of its proper divisors (184878016806).

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

113200324314 is a wasteful number, since it uses less digits than its factorization.

113200324314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41556.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113200324314 its reverse (413423002311), we get a palindrome (526623326625).

The spelling of 113200324314 in words is "one hundred thirteen billion, two hundred million, three hundred twenty-four thousand, three hundred fourteen".