13110001101001 has 24 divisors (see below), whose sum is σ = 16140216663936. Its totient is φ = 10427175575040.

The previous prime is 13110001100971. The next prime is 13110001101017. The reversal of 13110001101001 is 10010110001131.

It is not a de Polignac number, because 13110001101001 - 2¹³ = 13110001092809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13110001104001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45493516 + ... + 45780781.

It is an arithmetic number, because the mean of its divisors is an integer number (672509027664).

Almost surely, 2^{13110001101001} is an apocalyptic number.

It is an amenable number.

13110001101001 is a deficient number, since it is larger than the sum of its proper divisors (3030215562935).

13110001101001 is an equidigital number, since it uses as much as digits as its factorization.

13110001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91274409 (or 91274392 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 13110001101001 its reverse (10010110001131), we get a palindrome (23120111102132).

The spelling of 13110001101001 in words is "thirteen trillion, one hundred ten billion, one million, one hundred one thousand, one".