13101110131201 has 2 divisors, whose sum is σ = 13101110131202. Its totient is φ = 13101110131200.

The previous prime is 13101110131199. The next prime is 13101110131247. The reversal of 13101110131201 is 10213101110131.

13101110131201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11328098044176 + 1773012087025 = 3365724^2 + 1331545^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101110131201 - 2¹ = 13101110131199 is a prime.

Together with 13101110131199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13101119131201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550555065600 + 6550555065601.

It is an arithmetic number, because the mean of its divisors is an integer number (6550555065601).

Almost surely, 2^{13101110131201} is an apocalyptic number.

It is an amenable number.

13101110131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101110131201 is an equidigital number, since it uses as much as digits as its factorization.

13101110131201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 13101110131201 its reverse (10213101110131), we get a palindrome (23314211241332).

The spelling of 13101110131201 in words is "thirteen trillion, one hundred one billion, one hundred ten million, one hundred thirty-one thousand, two hundred one".