13110041101001 has 4 divisors (see below), whose sum is σ = 14118505801092. Its totient is φ = 12101576400912.

The previous prime is 13110041100907. The next prime is 13110041101007. The reversal of 13110041101001 is 10010114001131.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2501698968976 + 10608342132025 = 1581676^2 + 3257045^2 .

It is a cyclic number.

It is not a de Polignac number, because 13110041101001 - 2¹⁸ = 13110040838857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13110041101007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 504232350026 + ... + 504232350051.

It is an arithmetic number, because the mean of its divisors is an integer number (3529626450273).

Almost surely, 2^{13110041101001} is an apocalyptic number.

It is an amenable number.

13110041101001 is a deficient number, since it is larger than the sum of its proper divisors (1008464700091).

13110041101001 is a wasteful number, since it uses less digits than its factorization.

13110041101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008464700090.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 13110041101001 its reverse (10010114001131), we get a palindrome (23120155102132).

The spelling of 13110041101001 in words is "thirteen trillion, one hundred ten billion, forty-one million, one hundred one thousand, one".