13131035826817 has 2 divisors, whose sum is σ = 13131035826818. Its totient is φ = 13131035826816.

The previous prime is 13131035826767. The next prime is 13131035826863. The reversal of 13131035826817 is 71862853013131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10456162492801 + 2674873334016 = 3233599^2 + 1635504^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131035826817 - 2¹⁹ = 13131035302529 is a prime.

It is a super-2 number, since 2×13131035826817² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13131035827817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565517913408 + 6565517913409.

It is an arithmetic number, because the mean of its divisors is an integer number (6565517913409).

Almost surely, 2^{13131035826817} is an apocalyptic number.

It is an amenable number.

13131035826817 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131035826817 is an equidigital number, since it uses as much as digits as its factorization.

13131035826817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 49.

Adding to 13131035826817 its reverse (71862853013131), we get a palindrome (84993888839948).

The spelling of 13131035826817 in words is "thirteen trillion, one hundred thirty-one billion, thirty-five million, eight hundred twenty-six thousand, eight hundred seventeen".