13301331131201 has 2 divisors, whose sum is σ = 13301331131202. Its totient is φ = 13301331131200.

The previous prime is 13301331131191. The next prime is 13301331131213. The reversal of 13301331131201 is 10213113310331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7579978086976 + 5721353044225 = 2753176^2 + 2391935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13301331131201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13301331131401) 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 as a sum of consecutive naturals, namely, 6650665565600 + 6650665565601.

It is an arithmetic number, because the mean of its divisors is an integer number (6650665565601).

Almost surely, 2^{13301331131201} is an apocalyptic number.

It is an amenable number.

13301331131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301331131201 is an equidigital number, since it uses as much as digits as its factorization.

13301331131201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13301331131201 its reverse (10213113310331), we get a palindrome (23514444441532).

The spelling of 13301331131201 in words is "thirteen trillion, three hundred one billion, three hundred thirty-one million, one hundred thirty-one thousand, two hundred one".