101123223013 has 2 divisors, whose sum is σ = 101123223014. Its totient is φ = 101123223012.

The previous prime is 101123222957. The next prime is 101123223031. The reversal of 101123223013 is 310322321101.

Together with next prime (101123223031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94835050209 + 6288172804 = 307953^2 + 79298^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123223013 - 2¹³ = 101123214821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101123221013) 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, 50561611506 + 50561611507.

It is an arithmetic number, because the mean of its divisors is an integer number (50561611507).

Almost surely, 2^101123223013 is an apocalyptic number.

It is an amenable number.

101123223013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123223013 is an equidigital number, since it uses as much as digits as its factorization.

101123223013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101123223013 its reverse (310322321101), we get a palindrome (411445544114).

The spelling of 101123223013 in words is "one hundred one billion, one hundred twenty-three million, two hundred twenty-three thousand, thirteen".