101312311013 has 2 divisors, whose sum is σ = 101312311014. Its totient is φ = 101312311012.

The previous prime is 101312310991. The next prime is 101312311027. The reversal of 101312311013 is 310113213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95198165764 + 6114145249 = 308542^2 + 78193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101312311013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101312310982 and 101312311000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101312313013) 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, 50656155506 + 50656155507.

It is an arithmetic number, because the mean of its divisors is an integer number (50656155507).

Almost surely, 2^101312311013 is an apocalyptic number.

It is an amenable number.

101312311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101312311013 is an equidigital number, since it uses as much as digits as its factorization.

101312311013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101312311013 its reverse (310113213101), we get a palindrome (411425524114).

The spelling of 101312311013 in words is "one hundred one billion, three hundred twelve million, three hundred eleven thousand, thirteen".