13301121144013 has 12 divisors (see below), whose sum is σ = 13676189676660. Its totient is φ = 12936081071232.

The previous prime is 13301121143987. The next prime is 13301121144071. The reversal of 13301121144013 is 31044112110331.

It can be written as a sum of positive squares in 6 ways, for example, as 284705482084 + 13016415661929 = 533578^2 + 3607827^2 .

It is not a de Polignac number, because 13301121144013 - 2⁹ = 13301121143501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301121744013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1111593 + ... + 5276161.

It is an arithmetic number, because the mean of its divisors is an integer number (1139682473055).

Almost surely, 2^{13301121144013} is an apocalyptic number.

It is an amenable number.

13301121144013 is a deficient number, since it is larger than the sum of its proper divisors (375068532647).

13301121144013 is an equidigital number, since it uses as much as digits as its factorization.

13301121144013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166976 (or 4166939 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 13301121144013 its reverse (31044112110331), we get a palindrome (44345233254344).

The spelling of 13301121144013 in words is "thirteen trillion, three hundred one billion, one hundred twenty-one million, one hundred forty-four thousand, thirteen".