13110100010001 has 24 divisors (see below), whose sum is σ = 19076288999040. Its totient is φ = 8675713646496.

The previous prime is 13110100009921. The next prime is 13110100010017. The reversal of 13110100010001 is 10001000101131.

It is not a de Polignac number, because 13110100010001 - 2¹⁷ = 13110099878929 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13110100020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6496995 + ... + 8272311.

It is an arithmetic number, because the mean of its divisors is an integer number (794845374960).

Almost surely, 2^{13110100010001} is an apocalyptic number.

It is an amenable number.

13110100010001 is a deficient number, since it is larger than the sum of its proper divisors (5966188989039).

13110100010001 is a wasteful number, since it uses less digits than its factorization.

13110100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781365 (or 1781362 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 13110100010001 its reverse (10001000101131), we get a palindrome (23111100111132).

The spelling of 13110100010001 in words is "thirteen trillion, one hundred ten billion, one hundred million, ten thousand, one".