13300100101 has 2 divisors, whose sum is σ = 13300100102. Its totient is φ = 13300100100.

The previous prime is 13300100087. The next prime is 13300100117. The reversal of 13300100101 is 10100100331.

13300100101 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., 8713289025 + 4586811076 = 93345^2 + 67726^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300100101 - 2²³ = 13291711493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13300100141) 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, 6650050050 + 6650050051.

It is an arithmetic number, because the mean of its divisors is an integer number (6650050051).

Almost surely, 2^13300100101 is an apocalyptic number.

It is an amenable number.

13300100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300100101 is an equidigital number, since it uses as much as digits as its factorization.

13300100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 13300100101 its reverse (10100100331), we get a palindrome (23400200432).

The spelling of 13300100101 in words is "thirteen billion, three hundred million, one hundred thousand, one hundred one".