13131302434013 has 8 divisors (see below), whose sum is σ = 13219593017400. Its totient is φ = 13043013998080.

The previous prime is 13131302433913. The next prime is 13131302434027. The reversal of 13131302434013 is 31043420313131.

It can be written as a sum of positive squares in 4 ways, for example, as 1728375614329 + 11402926819684 = 1314677^2 + 3376822^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13131302434013 - 2¹⁶ = 13131302368477 is a prime.

It is a super-2 number, since 2×13131302434013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131302434073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12852581 + ... + 13836597.

It is an arithmetic number, because the mean of its divisors is an integer number (1652449127175).

Almost surely, 2^{13131302434013} is an apocalyptic number.

It is an amenable number.

13131302434013 is a deficient number, since it is larger than the sum of its proper divisors (88290583387).

13131302434013 is an equidigital number, since it uses as much as digits as its factorization.

13131302434013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073727.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 13131302434013 its reverse (31043420313131), we get a palindrome (44174722747144).

The spelling of 13131302434013 in words is "thirteen trillion, one hundred thirty-one billion, three hundred two million, four hundred thirty-four thousand, thirteen".