13102431312413 has 8 divisors (see below), whose sum is σ = 13295690367960. Its totient is φ = 12910500498240.

The previous prime is 13102431312403. The next prime is 13102431312449. The reversal of 13102431312413 is 31421313420131.

It can be written as a sum of positive squares in 4 ways, for example, as 219809070244 + 12882622242169 = 468838^2 + 3589237^2 .

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 13102431312413 - 2¹⁴ = 13102431296029 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 (13102431312403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332040470 + ... + 332079927.

It is an arithmetic number, because the mean of its divisors is an integer number (1661961295995).

Almost surely, 2^{13102431312413} is an apocalyptic number.

It is an amenable number.

13102431312413 is a deficient number, since it is larger than the sum of its proper divisors (193259055547).

13102431312413 is a wasteful number, since it uses less digits than its factorization.

13102431312413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664120687.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 13102431312413 its reverse (31421313420131), we get a palindrome (44523744732544).

The spelling of 13102431312413 in words is "thirteen trillion, one hundred two billion, four hundred thirty-one million, three hundred twelve thousand, four hundred thirteen".