85128135013 has 2 divisors, whose sum is σ = 85128135014. Its totient is φ = 85128135012.

The previous prime is 85128134977. The next prime is 85128135091. The reversal of 85128135013 is 31053182158.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51893751204 + 33234383809 = 227802^2 + 182303^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85128135013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85128136013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42564067506 + 42564067507.

It is an arithmetic number, because the mean of its divisors is an integer number (42564067507).

Almost surely, 2^85128135013 is an apocalyptic number.

It is an amenable number.

85128135013 is a deficient number, since it is larger than the sum of its proper divisors (1).

85128135013 is an equidigital number, since it uses as much as digits as its factorization.

85128135013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 85128135013 in words is "eighty-five billion, one hundred twenty-eight million, one hundred thirty-five thousand, thirteen".