13330001300101 has 2 divisors, whose sum is σ = 13330001300102. Its totient is φ = 13330001300100.

The previous prime is 13330001300071. The next prime is 13330001300117. The reversal of 13330001300101 is 10100310003331.

13330001300101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13330001300117) can be obtained adding 13330001300101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11244446519076 + 2085554781025 = 3353274^2 + 1444145^2 .

It is a cyclic number.

It is not a de Polignac number, because 13330001300101 - 2⁷ = 13330001299973 is a prime.

It is a super-2 number, since 2×13330001300101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13330001300501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665000650050 + 6665000650051.

It is an arithmetic number, because the mean of its divisors is an integer number (6665000650051).

Almost surely, 2^{13330001300101} is an apocalyptic number.

It is an amenable number.

13330001300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13330001300101 is an equidigital number, since it uses as much as digits as its factorization.

13330001300101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13330001300101 its reverse (10100310003331), we get a palindrome (23430311303432).

The spelling of 13330001300101 in words is "thirteen trillion, three hundred thirty billion, one million, three hundred thousand, one hundred one".