13140314012144 has 120 divisors (see below), whose sum is σ = 29205785710080. Its totient is φ = 5712235914880.

The previous prime is 13140314012129. The next prime is 13140314012171. The reversal of 13140314012144 is 44121041304131.

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 (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315192869 + ... + 315234555.

It is an arithmetic number, because the mean of its divisors is an integer number (243381547584).

Almost surely, 2^{13140314012144} 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 13140314012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602892855040).

13140314012144 is an abundant number, since it is smaller than the sum of its proper divisors (16065471697936).

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

13140314012144 is a wasteful number, since it uses less digits than its factorization.

13140314012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48819 (or 48802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 13140314012144 its reverse (44121041304131), we get a palindrome (57261355316275).

The spelling of 13140314012144 in words is "thirteen trillion, one hundred forty billion, three hundred fourteen million, twelve thousand, one hundred forty-four".