13003100101 has 2 divisors, whose sum is σ = 13003100102. Its totient is φ = 13003100100.

The previous prime is 13003100087. The next prime is 13003100113. The reversal of 13003100101 is 10100130031.

13003100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9516197601 + 3486902500 = 97551^2 + 59050^2 .

It is an emirp because it is prime and its reverse (10100130031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13003100101 - 2¹⁹ = 13002575813 is a prime.

It is a super-2 number, since 2×13003100101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13003100191) 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, 6501550050 + 6501550051.

It is an arithmetic number, because the mean of its divisors is an integer number (6501550051).

Almost surely, 2^13003100101 is an apocalyptic number.

It is an amenable number.

13003100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003100101 is an equidigital number, since it uses as much as digits as its factorization.

13003100101 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 13003100101 its reverse (10100130031), we get a palindrome (23103230132).

The spelling of 13003100101 in words is "thirteen billion, three million, one hundred thousand, one hundred one".