13705075301 has 2 divisors, whose sum is σ = 13705075302. Its totient is φ = 13705075300.

The previous prime is 13705075271. The next prime is 13705075303. The reversal of 13705075301 is 10357050731.

13705075301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12908368225 + 796707076 = 113615^2 + 28226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13705075301 is a prime.

Together with 13705075303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13705075303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6852537650 + 6852537651.

It is an arithmetic number, because the mean of its divisors is an integer number (6852537651).

Almost surely, 2^13705075301 is an apocalyptic number.

It is an amenable number.

13705075301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13705075301 is an equidigital number, since it uses as much as digits as its factorization.

13705075301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11025, while the sum is 32.

The spelling of 13705075301 in words is "thirteen billion, seven hundred five million, seventy-five thousand, three hundred one".