13321101331301 has 12 divisors (see below), whose sum is σ = 14239320014700. Its totient is φ = 12446857725120.

The previous prime is 13321101331297. The next prime is 13321101331339. The reversal of 13321101331301 is 10313310112331.

13321101331301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6051472080676 + 7269629250625 = 2459974^2 + 2696225^2 .

It is not a de Polignac number, because 13321101331301 - 2² = 13321101331297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321101331501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238967096 + ... + 239022833.

It is an arithmetic number, because the mean of its divisors is an integer number (1186610001225).

Almost surely, 2^{13321101331301} is an apocalyptic number.

It is an amenable number.

13321101331301 is a deficient number, since it is larger than the sum of its proper divisors (918218683399).

13321101331301 is an equidigital number, since it uses as much as digits as its factorization.

13321101331301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477990020 (or 477989989 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13321101331301 its reverse (10313310112331), we get a palindrome (23634411443632).

The spelling of 13321101331301 in words is "thirteen trillion, three hundred twenty-one billion, one hundred one million, three hundred thirty-one thousand, three hundred one".