13110000101 has 16 divisors (see below), whose sum is σ = 14806195200. Its totient is φ = 11498491200.

The previous prime is 13110000091. The next prime is 13110000107. The reversal of 13110000101 is 10100001131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13110000101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425660 + ... + 455418.

It is an arithmetic number, because the mean of its divisors is an integer number (925387200).

Almost surely, 2^13110000101 is an apocalyptic number.

13110000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13110000101 is a deficient number, since it is larger than the sum of its proper divisors (1696195099).

13110000101 is a wasteful number, since it uses less digits than its factorization.

13110000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31180.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 13110000101 its reverse (10100001131), we get a palindrome (23210001232).

The spelling of 13110000101 in words is "thirteen billion, one hundred ten million, one hundred one", and thus it is an aban number.