101310030013 has 2 divisors, whose sum is σ = 101310030014. Its totient is φ = 101310030012.

The previous prime is 101310030011. The next prime is 101310030047. The reversal of 101310030013 is 310030013101.

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., 90070213689 + 11239816324 = 300117^2 + 106018^2 .

It is a cyclic number.

It is not a de Polignac number, because 101310030013 - 2¹ = 101310030011 is a prime.

Together with 101310030011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101310029975 and 101310030002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101310030011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655015006 + 50655015007.

It is an arithmetic number, because the mean of its divisors is an integer number (50655015007).

Almost surely, 2^101310030013 is an apocalyptic number.

It is an amenable number.

101310030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101310030013 is an equidigital number, since it uses as much as digits as its factorization.

101310030013 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 13.

Adding to 101310030013 its reverse (310030013101), we get a palindrome (411340043114).

It can be divided in two parts, 101 and 310030013, that multiplied together give a palindrome (31313031313).

The spelling of 101310030013 in words is "one hundred one billion, three hundred ten million, thirty thousand, thirteen".