13201020320101 has 2 divisors, whose sum is σ = 13201020320102. Its totient is φ = 13201020320100.

The previous prime is 13201020320099. The next prime is 13201020320107. The reversal of 13201020320101 is 10102302010231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8577875297601 + 4623145022500 = 2928801^2 + 2150150^2 .

It is a cyclic number.

It is not a de Polignac number, because 13201020320101 - 2¹ = 13201020320099 is a prime.

Together with 13201020320099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13201020320107) 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, 6600510160050 + 6600510160051.

It is an arithmetic number, because the mean of its divisors is an integer number (6600510160051).

Almost surely, 2^{13201020320101} is an apocalyptic number.

It is an amenable number.

13201020320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201020320101 is an equidigital number, since it uses as much as digits as its factorization.

13201020320101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13201020320101 its reverse (10102302010231), we get a palindrome (23303322330332).

The spelling of 13201020320101 in words is "thirteen trillion, two hundred one billion, twenty million, three hundred twenty thousand, one hundred one".