13001123103301 has 8 divisors (see below), whose sum is σ = 14240581087320. Its totient is φ = 11814408012288.

The previous prime is 13001123103289. The next prime is 13001123103337. The reversal of 13001123103301 is 10330132110031.

It can be written as a sum of positive squares in 4 ways, for example, as 8394497950276 + 4606625153025 = 2897326^2 + 2146305^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13001123103301 - 2³¹ = 12998975619653 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 (13001123103601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13185722736 + ... + 13185723721.

It is an arithmetic number, because the mean of its divisors is an integer number (1780072635915).

Almost surely, 2^{13001123103301} is an apocalyptic number.

It is an amenable number.

13001123103301 is a deficient number, since it is larger than the sum of its proper divisors (1239457984019).

13001123103301 is a wasteful number, since it uses less digits than its factorization.

13001123103301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26371446503.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13001123103301 its reverse (10330132110031), we get a palindrome (23331255213332).

The spelling of 13001123103301 in words is "thirteen trillion, one billion, one hundred twenty-three million, one hundred three thousand, three hundred one".