101310120013 has 2 divisors, whose sum is σ = 101310120014. Its totient is φ = 101310120012.

The previous prime is 101310120011. The next prime is 101310120049. The reversal of 101310120013 is 310021013101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92029109769 + 9281010244 = 303363^2 + 96338^2 .

It is a cyclic number.

It is not a de Polignac number, because 101310120013 - 2¹ = 101310120011 is a prime.

Together with 101310120011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101310119975 and 101310120002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101310120011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655060006 + 50655060007.

It is an arithmetic number, because the mean of its divisors is an integer number (50655060007).

Almost surely, 2^101310120013 is an apocalyptic number.

It is an amenable number.

101310120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101310120013 is an equidigital number, since it uses as much as digits as its factorization.

101310120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101310120013 its reverse (310021013101), we get a palindrome (411331133114).

The spelling of 101310120013 in words is "one hundred one billion, three hundred ten million, one hundred twenty thousand, thirteen".