101203123013 has 2 divisors, whose sum is σ = 101203123014. Its totient is φ = 101203123012.

The previous prime is 101203122997. The next prime is 101203123033. The reversal of 101203123013 is 310321302101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101186337604 + 16785409 = 318098^2 + 4097^2 .

It is an emirp because it is prime and its reverse (310321302101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101203123013 - 2⁴ = 101203122997 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 = 101203122982 and 101203123000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101203123033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601561506 + 50601561507.

It is an arithmetic number, because the mean of its divisors is an integer number (50601561507).

Almost surely, 2^101203123013 is an apocalyptic number.

It is an amenable number.

101203123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101203123013 is an equidigital number, since it uses as much as digits as its factorization.

101203123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101203123013 its reverse (310321302101), we get a palindrome (411524425114).

The spelling of 101203123013 in words is "one hundred one billion, two hundred three million, one hundred twenty-three thousand, thirteen".