135205452314201 has 2 divisors, whose sum is σ = 135205452314202. Its totient is φ = 135205452314200.

The previous prime is 135205452314197. The next prime is 135205452314321. The reversal of 135205452314201 is 102413254502531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92773516873801 + 42431935440400 = 9631901^2 + 6513980^2 .

It is a cyclic number.

It is not a de Polignac number, because 135205452314201 - 2² = 135205452314197 is a prime.

It is not a weakly prime, because it can be changed into another prime (135205452313201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67602726157100 + 67602726157101.

It is an arithmetic number, because the mean of its divisors is an integer number (67602726157101).

Almost surely, 2^{135205452314201} is an apocalyptic number.

It is an amenable number.

135205452314201 is a deficient number, since it is larger than the sum of its proper divisors (1).

135205452314201 is an equidigital number, since it uses as much as digits as its factorization.

135205452314201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 135205452314201 in words is "one hundred thirty-five trillion, two hundred five billion, four hundred fifty-two million, three hundred fourteen thousand, two hundred one".