14123443313000 has 96 divisors (see below), whose sum is σ = 38444589298440. Its totient is φ = 4842323404800.

The previous prime is 14123443312963. The next prime is 14123443313009. The reversal of 14123443313000 is 31334432141.

It is a happy number.

14123443313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7096395176836 + 7027048136164 = 2663906^2 + 2650858^2 .

It is not an unprimeable number, because it can be changed into a prime (14123443313009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144067769 + ... + 144165768.

Almost surely, 2^{14123443313000} is an apocalyptic number.

14123443313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14123443313000 is an abundant number, since it is smaller than the sum of its proper divisors (24321145985440).

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

14123443313000 is a wasteful number, since it uses less digits than its factorization.

14123443313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288233572 (or 288233551 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 14123443313000 its reverse (31334432141), we get a palindrome (14154777745141).

The spelling of 14123443313000 in words is "fourteen trillion, one hundred twenty-three billion, four hundred forty-three million, three hundred thirteen thousand".