101413330041013 has 2 divisors, whose sum is σ = 101413330041014. Its totient is φ = 101413330041012.

The previous prime is 101413330041007. The next prime is 101413330041031. The reversal of 101413330041013 is 310140033314101.

Together with next prime (101413330041031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80955240185169 + 20458089855844 = 8997513^2 + 4523062^2 .

It is an emirp because it is prime and its reverse (310140033314101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101413330041013 - 2⁴⁵ = 66228957952181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101413330041043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50706665020506 + 50706665020507.

It is an arithmetic number, because the mean of its divisors is an integer number (50706665020507).

Almost surely, 2^{101413330041013} is an apocalyptic number.

It is an amenable number.

101413330041013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101413330041013 is an equidigital number, since it uses as much as digits as its factorization.

101413330041013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 101413330041013 its reverse (310140033314101), we get a palindrome (411553363355114).

The spelling of 101413330041013 in words is "one hundred one trillion, four hundred thirteen billion, three hundred thirty million, forty-one thousand, thirteen".