13311103111001 has 16 divisors (see below), whose sum is σ = 14113820967120. Its totient is φ = 12510587289600.

The previous prime is 13311103110989. The next prime is 13311103111027. The reversal of 13311103111001 is 10011130111331.

It can be written as a sum of positive squares in 8 ways, for example, as 15424398025 + 13295678712976 = 124195^2 + 3646324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13311103111001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13311103111601) 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 15 ways as a sum of consecutive naturals, for example, 36097565 + ... + 36464453.

It is an arithmetic number, because the mean of its divisors is an integer number (882113810445).

Almost surely, 2^{13311103111001} is an apocalyptic number.

It is an amenable number.

13311103111001 is a deficient number, since it is larger than the sum of its proper divisors (802717856119).

13311103111001 is a wasteful number, since it uses less digits than its factorization.

13311103111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369884.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 13311103111001 its reverse (10011130111331), we get a palindrome (23322233222332).

The spelling of 13311103111001 in words is "thirteen trillion, three hundred eleven billion, one hundred three million, one hundred eleven thousand, one".