13121330013 has 24 divisors (see below), whose sum is σ = 20680077600. Its totient is φ = 7950766560.

The previous prime is 13121330011. The next prime is 13121330021. The reversal of 13121330013 is 31003312131.

It is a happy number.

It is not a de Polignac number, because 13121330013 - 2¹ = 13121330011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121330011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684838 + ... + 703736.

It is an arithmetic number, because the mean of its divisors is an integer number (861669900).

Almost surely, 2^13121330013 is an apocalyptic number.

It is an amenable number.

13121330013 is a deficient number, since it is larger than the sum of its proper divisors (7558747587).

13121330013 is a wasteful number, since it uses less digits than its factorization.

13121330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25929 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13121330013 its reverse (31003312131), we get a palindrome (44124642144).

The spelling of 13121330013 in words is "thirteen billion, one hundred twenty-one million, three hundred thirty thousand, thirteen".