3135541540013 has 2 divisors, whose sum is σ = 3135541540014. Its totient is φ = 3135541540012.

The previous prime is 3135541539941. The next prime is 3135541540031. The reversal of 3135541540013 is 3100451455313.

Together with next prime (3135541540031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2688593134249 + 446948405764 = 1639693^2 + 668542^2 .

It is a cyclic number.

It is not a de Polignac number, because 3135541540013 - 2²⁶ = 3135474431149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3135541540093) 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, 1567770770006 + 1567770770007.

It is an arithmetic number, because the mean of its divisors is an integer number (1567770770007).

Almost surely, 2^{3135541540013} is an apocalyptic number.

It is an amenable number.

3135541540013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3135541540013 is an equidigital number, since it uses as much as digits as its factorization.

3135541540013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 3135541540013 its reverse (3100451455313), we get a palindrome (6235992995326).

The spelling of 3135541540013 in words is "three trillion, one hundred thirty-five billion, five hundred forty-one million, five hundred forty thousand, thirteen".