101320201110013 has 2 divisors, whose sum is σ = 101320201110014. Its totient is φ = 101320201110012.

The previous prime is 101320201109957. The next prime is 101320201110031. The reversal of 101320201110013 is 310011102023101.

It is a happy number.

Together with next prime (101320201110031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64337772492889 + 36982428617124 = 8021083^2 + 6081318^2 .

It is a cyclic number.

It is not a de Polignac number, because 101320201110013 - 2²¹ = 101320199012861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101320201117013) 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, 50660100555006 + 50660100555007.

It is an arithmetic number, because the mean of its divisors is an integer number (50660100555007).

Almost surely, 2^{101320201110013} is an apocalyptic number.

It is an amenable number.

101320201110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101320201110013 is an equidigital number, since it uses as much as digits as its factorization.

101320201110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101320201110013 its reverse (310011102023101), we get a palindrome (411331303133114).

The spelling of 101320201110013 in words is "one hundred one trillion, three hundred twenty billion, two hundred one million, one hundred ten thousand, thirteen".