13016555125313 has 2 divisors, whose sum is σ = 13016555125314. Its totient is φ = 13016555125312.

The previous prime is 13016555125307. The next prime is 13016555125331. The reversal of 13016555125313 is 31352155561031.

Together with next prime (13016555125331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10845903929344 + 2170651195969 = 3293312^2 + 1473313^2 .

It is an emirp because it is prime and its reverse (31352155561031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13016555125313 - 2⁴ = 13016555125297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13016555625313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6508277562656 + 6508277562657.

It is an arithmetic number, because the mean of its divisors is an integer number (6508277562657).

Almost surely, 2^{13016555125313} is an apocalyptic number.

It is an amenable number.

13016555125313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13016555125313 is an equidigital number, since it uses as much as digits as its factorization.

13016555125313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 202500, while the sum is 41.

The spelling of 13016555125313 in words is "thirteen trillion, sixteen billion, five hundred fifty-five million, one hundred twenty-five thousand, three hundred thirteen".