13526731328013 has 12 divisors (see below), whose sum is σ = 20015163428988. Its totient is φ = 8797874034240.

The previous prime is 13526731327987. The next prime is 13526731328017. The reversal of 13526731328013 is 31082313762531.

13526731328013 is a `hidden beast` number, since 1 + 3 + 52 + 6 + 7 + 313 + 280 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313782586569 + 13212948741444 = 560163^2 + 3634962^2 .

It is not a de Polignac number, because 13526731328013 - 2¹⁰ = 13526731326989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13526731328013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13526731328017) 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, 18328903870 + ... + 18328904607.

It is an arithmetic number, because the mean of its divisors is an integer number (1667930285749).

Almost surely, 2^{13526731328013} is an apocalyptic number.

It is an amenable number.

13526731328013 is a deficient number, since it is larger than the sum of its proper divisors (6488432100975).

13526731328013 is a wasteful number, since it uses less digits than its factorization.

13526731328013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36657808524 (or 36657808521 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13526731328013 in words is "thirteen trillion, five hundred twenty-six billion, seven hundred thirty-one million, three hundred twenty-eight thousand, thirteen".