13121340540 has 144 divisors (see below), whose sum is σ = 46623475584. Its totient is φ = 2726505600.

The previous prime is 13121340517. The next prime is 13121340593. The reversal of 13121340540 is 4504312131.

It is a happy number.

13121340540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13121340540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170526 + ... + 235205.

It is an arithmetic number, because the mean of its divisors is an integer number (323774136).

Almost surely, 2^13121340540 is an apocalyptic number.

13121340540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121340540 is an abundant number, since it is smaller than the sum of its proper divisors (33502135044).

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

13121340540 is a wasteful number, since it uses less digits than its factorization.

13121340540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405768 (or 405759 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13121340540 its reverse (4504312131), we get a palindrome (17625652671).

The spelling of 13121340540 in words is "thirteen billion, one hundred twenty-one million, three hundred forty thousand, five hundred forty".