13100020101 has 72 divisors (see below), whose sum is σ = 22457635200. Its totient is φ = 7334893440.

The previous prime is 13100020097. The next prime is 13100020127. The reversal of 13100020101 is 10102000131.

It is not a de Polignac number, because 13100020101 - 2² = 13100020097 is a prime.

It is a super-3 number, since 3×13100020101³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100020301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10641156 + ... + 10642386.

It is an arithmetic number, because the mean of its divisors is an integer number (311911600).

Almost surely, 2^13100020101 is an apocalyptic number.

It is an amenable number.

13100020101 is a deficient number, since it is larger than the sum of its proper divisors (9357615099).

13100020101 is a wasteful number, since it uses less digits than its factorization.

13100020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13100020101 its reverse (10102000131), we get a palindrome (23202020232).

The spelling of 13100020101 in words is "thirteen billion, one hundred million, twenty thousand, one hundred one".