13806305101 has 2 divisors, whose sum is σ = 13806305102. Its totient is φ = 13806305100.

The previous prime is 13806305063. The next prime is 13806305129. The reversal of 13806305101 is 10150360831.

It is an a-pointer prime, because the next prime (13806305129) can be obtained adding 13806305101 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13659531876 + 146773225 = 116874^2 + 12115^2 .

It is a cyclic number.

It is not a de Polignac number, because 13806305101 - 2²³ = 13797916493 is a prime.

It is a super-2 number, since 2×13806305101² (a number of 21 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 13806305101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13806305501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6903152550 + 6903152551.

It is an arithmetic number, because the mean of its divisors is an integer number (6903152551).

Almost surely, 2^13806305101 is an apocalyptic number.

It is an amenable number.

13806305101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13806305101 is an equidigital number, since it uses as much as digits as its factorization.

13806305101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 13806305101 its reverse (10150360831), we get a palindrome (23956665932).

The spelling of 13806305101 in words is "thirteen billion, eight hundred six million, three hundred five thousand, one hundred one".