101323003013 has 2 divisors, whose sum is σ = 101323003014. Its totient is φ = 101323003012.

The previous prime is 101323003007. The next prime is 101323003031. The reversal of 101323003013 is 310300323101.

Together with next prime (101323003031) 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., 95865782884 + 5457220129 = 309622^2 + 73873^2 .

It is a cyclic number.

It is not a de Polignac number, because 101323003013 - 2⁴ = 101323002997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101323002982 and 101323003000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101323003003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661501506 + 50661501507.

It is an arithmetic number, because the mean of its divisors is an integer number (50661501507).

Almost surely, 2^101323003013 is an apocalyptic number.

It is an amenable number.

101323003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101323003013 is an equidigital number, since it uses as much as digits as its factorization.

101323003013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 101323003013 its reverse (310300323101), we get a palindrome (411623326114).

The spelling of 101323003013 in words is "one hundred one billion, three hundred twenty-three million, three thousand, thirteen".