13140305431220 has 192 divisors, whose sum is σ = 31485384806400. Its totient is φ = 4564637721600.

The previous prime is 13140305431219. The next prime is 13140305431229. The reversal of 13140305431220 is 2213450304131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140305431229) 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, 100859681 + ... + 100989879.

It is an arithmetic number, because the mean of its divisors is an integer number (163986379200).

Almost surely, 2^{13140305431220} is an apocalyptic number.

13140305431220 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 13140305431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15742692403200).

13140305431220 is an abundant number, since it is smaller than the sum of its proper divisors (18345079375180).

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

13140305431220 is a wasteful number, since it uses less digits than its factorization.

13140305431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130494 (or 130492 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 13140305431220 its reverse (2213450304131), we get a palindrome (15353755735351).

The spelling of 13140305431220 in words is "thirteen trillion, one hundred forty billion, three hundred five million, four hundred thirty-one thousand, two hundred twenty".