13330301144140 has 192 divisors, whose sum is σ = 31655674229760. Its totient is φ = 4685018849280.

The previous prime is 13330301144129. The next prime is 13330301144143. The reversal of 13330301144140 is 4144110303331.

It is a junction number, because it is equal to n+sod(n) for n = 13330301144099 and 13330301144108.

It is not an unprimeable number, because it can be changed into a prime (13330301144143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090228707 + ... + 1090240933.

It is an arithmetic number, because the mean of its divisors is an integer number (164873303280).

Almost surely, 2^{13330301144140} is an apocalyptic number.

13330301144140 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 13330301144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827837114880).

13330301144140 is an abundant number, since it is smaller than the sum of its proper divisors (18325373085620).

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

13330301144140 is a wasteful number, since it uses less digits than its factorization.

13330301144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14720 (or 14718 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13330301144140 its reverse (4144110303331), we get a palindrome (17474411447471).

The spelling of 13330301144140 in words is "thirteen trillion, three hundred thirty billion, three hundred one million, one hundred forty-four thousand, one hundred forty".