13140302431240 has 128 divisors (see below), whose sum is σ = 30231512064000. Its totient is φ = 5138763436800.

The previous prime is 13140302431211. The next prime is 13140302431279. The reversal of 13140302431240 is 4213420304131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13140302431199 and 13140302431208.

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, 732490191 + ... + 732508129.

It is an arithmetic number, because the mean of its divisors is an integer number (236183688000).

Almost surely, 2^{13140302431240} is an apocalyptic number.

13140302431240 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 13140302431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115756032000).

13140302431240 is an abundant number, since it is smaller than the sum of its proper divisors (17091209632760).

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

13140302431240 is a wasteful number, since it uses less digits than its factorization.

13140302431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19691 (or 19687 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13140302431240 its reverse (4213420304131), we get a palindrome (17353722735371).

The spelling of 13140302431240 in words is "thirteen trillion, one hundred forty billion, three hundred two million, four hundred thirty-one thousand, two hundred forty".