13140324141024 has 192 divisors, whose sum is σ = 36357334272000. Its totient is φ = 4150222479360.

The previous prime is 13140324141019. The next prime is 13140324141073. The reversal of 13140324141024 is 42014142304131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13140324140982 and 13140324141000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29542227 + ... + 29983725.

It is an arithmetic number, because the mean of its divisors is an integer number (189361116000).

Almost surely, 2^{13140324141024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140324141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178667136000).

13140324141024 is an abundant number, since it is smaller than the sum of its proper divisors (23217010130976).

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

13140324141024 is a wasteful number, since it uses less digits than its factorization.

13140324141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441753 (or 441745 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13140324141024 its reverse (42014142304131), we get a palindrome (55154466445155).

The spelling of 13140324141024 in words is "thirteen trillion, one hundred forty billion, three hundred twenty-four million, one hundred forty-one thousand, twenty-four".