13001123110313 has 8 divisors (see below), whose sum is σ = 14008151132808. Its totient is φ = 11995086749184.

The previous prime is 13001123110273. The next prime is 13001123110333. The reversal of 13001123110313 is 31301132110031.

It can be written as a sum of positive squares in 4 ways, for example, as 742497592489 + 12258625517824 = 861683^2 + 3501232^2 .

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 13001123110313 - 2⁶ = 13001123110249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13001123110333) 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, 247888106 + ... + 247940547.

It is an arithmetic number, because the mean of its divisors is an integer number (1751018891601).

Almost surely, 2^{13001123110313} is an apocalyptic number.

13001123110313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13001123110313 is a deficient number, since it is larger than the sum of its proper divisors (1007028022495).

13001123110313 is a wasteful number, since it uses less digits than its factorization.

13001123110313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495830683.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13001123110313 its reverse (31301132110031), we get a palindrome (44302255220344).

The spelling of 13001123110313 in words is "thirteen trillion, one billion, one hundred twenty-three million, one hundred ten thousand, three hundred thirteen".