13014331442000 has 320 divisors, whose sum is σ = 36529780944384. Its totient is φ = 4392273715200.

The previous prime is 13014331441999. The next prime is 13014331442011. The reversal of 13014331442000 is 24413341031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321853784 + ... + 321894216.

Almost surely, 2^{13014331442000} is an apocalyptic number.

13014331442000 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 13014331442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18264890472192).

13014331442000 is an abundant number, since it is smaller than the sum of its proper divisors (23515449502384).

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

13014331442000 is a wasteful number, since it uses less digits than its factorization.

13014331442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40823 (or 40807 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13014331442000 its reverse (24413341031), we get a palindrome (13038744783031).

The spelling of 13014331442000 in words is "thirteen trillion, fourteen billion, three hundred thirty-one million, four hundred forty-two thousand".