101313100013 has 2 divisors, whose sum is σ = 101313100014. Its totient is φ = 101313100012.

The previous prime is 101313100003. The next prime is 101313100067. The reversal of 101313100013 is 310001313101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100167819049 + 1145280964 = 316493^2 + 33842^2 .

It is a cyclic number.

It is not a de Polignac number, because 101313100013 - 2¹⁴ = 101313083629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101313100003) 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, 50656550006 + 50656550007.

It is an arithmetic number, because the mean of its divisors is an integer number (50656550007).

Almost surely, 2^101313100013 is an apocalyptic number.

It is an amenable number.

101313100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313100013 is an equidigital number, since it uses as much as digits as its factorization.

101313100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101313100013 its reverse (310001313101), we get a palindrome (411314413114).

The spelling of 101313100013 in words is "one hundred one billion, three hundred thirteen million, one hundred thousand, thirteen".