135305000081 has 2 divisors, whose sum is σ = 135305000082. Its totient is φ = 135305000080.

The previous prime is 135305000021. The next prime is 135305000107. The reversal of 135305000081 is 180000503531.

It is an a-pointer prime, because the next prime (135305000107) can be obtained adding 135305000081 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102522276481 + 32782723600 = 320191^2 + 181060^2 .

It is a cyclic number.

It is not a de Polignac number, because 135305000081 - 2¹⁰ = 135304999057 is a prime.

It is a super-2 number, since 2×135305000081² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135305000081.

It is not a weakly prime, because it can be changed into another prime (135305000021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67652500040 + 67652500041.

It is an arithmetic number, because the mean of its divisors is an integer number (67652500041).

Almost surely, 2^135305000081 is an apocalyptic number.

It is an amenable number.

135305000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

135305000081 is an equidigital number, since it uses as much as digits as its factorization.

135305000081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 135305000081 in words is "one hundred thirty-five billion, three hundred five million, eighty-one", and thus it is an aban number.