13101101303313 has 8 divisors (see below), whose sum is σ = 17469456765408. Its totient is φ = 8733406688384.

The previous prime is 13101101303287. The next prime is 13101101303363. The reversal of 13101101303313 is 31330310110131.

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 13101101303313 - 2⁸ = 13101101303057 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13101101303313.

It is not an unprimeable number, because it can be changed into a prime (13101101303363) 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 7 ways as a sum of consecutive naturals, for example, 165165531 + ... + 165244832.

It is an arithmetic number, because the mean of its divisors is an integer number (2183682095676).

Almost surely, 2^{13101101303313} is an apocalyptic number.

It is an amenable number.

13101101303313 is a deficient number, since it is larger than the sum of its proper divisors (4368355462095).

13101101303313 is a wasteful number, since it uses less digits than its factorization.

13101101303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330423583.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 13101101303313 its reverse (31330310110131), we get a palindrome (44431411413444).

The spelling of 13101101303313 in words is "thirteen trillion, one hundred one billion, one hundred one million, three hundred three thousand, three hundred thirteen".