13224305002314 has 128 divisors (see below), whose sum is σ = 31443909488640. Its totient is φ = 3629437056000.

The previous prime is 13224305002297. The next prime is 13224305002361. The reversal of 13224305002314 is 41320050342231.

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, 51290032 + ... + 51547220.

It is an arithmetic number, because the mean of its divisors is an integer number (245655542880).

Almost surely, 2^{13224305002314} is an apocalyptic number.

13224305002314 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 13224305002314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721954744320).

13224305002314 is an abundant number, since it is smaller than the sum of its proper divisors (18219604486326).

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

13224305002314 is a wasteful number, since it uses less digits than its factorization.

13224305002314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257716.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13224305002314 its reverse (41320050342231), we get a palindrome (54544355344545).

The spelling of 13224305002314 in words is "thirteen trillion, two hundred twenty-four billion, three hundred five million, two thousand, three hundred fourteen".