13101020101 has 12 divisors (see below), whose sum is σ = 14200155840. Its totient is φ = 12081448080.

The previous prime is 13101020083. The next prime is 13101020147. The reversal of 13101020101 is 10102010131.

13101020101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13101020101 - 2¹⁷ = 13100889029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101020161) 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 in 11 ways as a sum of consecutive naturals, for example, 138286 + ... + 212896.

It is an arithmetic number, because the mean of its divisors is an integer number (1183346320).

Almost surely, 2^13101020101 is an apocalyptic number.

It is an amenable number.

13101020101 is a deficient number, since it is larger than the sum of its proper divisors (1099135739).

13101020101 is a wasteful number, since it uses less digits than its factorization.

13101020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75676 (or 75663 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 13101020101 its reverse (10102010131), we get a palindrome (23203030232).

The spelling of 13101020101 in words is "thirteen billion, one hundred one million, twenty thousand, one hundred one".