135842501009213 has 2 divisors, whose sum is σ = 135842501009214. Its totient is φ = 135842501009212.

The previous prime is 135842501009191. The next prime is 135842501009231. The reversal of 135842501009213 is 312900105248531.

Together with next prime (135842501009231) 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., 119186609576644 + 16655891432569 = 10917262^2 + 4081163^2 .

It is a cyclic number.

It is not a de Polignac number, because 135842501009213 - 2¹⁸ = 135842500747069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135842501009713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67921250504606 + 67921250504607.

It is an arithmetic number, because the mean of its divisors is an integer number (67921250504607).

Almost surely, 2^{135842501009213} is an apocalyptic number.

It is an amenable number.

135842501009213 is a deficient number, since it is larger than the sum of its proper divisors (1).

135842501009213 is an equidigital number, since it uses as much as digits as its factorization.

135842501009213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 135842501009213 in words is "one hundred thirty-five trillion, eight hundred forty-two billion, five hundred one million, nine thousand, two hundred thirteen".