13305501101 has 2 divisors, whose sum is σ = 13305501102. Its totient is φ = 13305501100.

The previous prime is 13305501071. The next prime is 13305501149. The reversal of 13305501101 is 10110550331.

13305501101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13207985476 + 97515625 = 114926^2 + 9875^2 .

It is a cyclic number.

It is not a de Polignac number, because 13305501101 - 2⁶ = 13305501037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13305507101) 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, 6652750550 + 6652750551.

It is an arithmetic number, because the mean of its divisors is an integer number (6652750551).

Almost surely, 2^13305501101 is an apocalyptic number.

It is an amenable number.

13305501101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13305501101 is an equidigital number, since it uses as much as digits as its factorization.

13305501101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 20.

The spelling of 13305501101 in words is "thirteen billion, three hundred five million, five hundred one thousand, one hundred one".