100023103013 has 2 divisors, whose sum is σ = 100023103014. Its totient is φ = 100023103012.

The previous prime is 100023103007. The next prime is 100023103073. The reversal of 100023103013 is 310301320001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80180718244 + 19842384769 = 283162^2 + 140863^2 .

It is an emirp because it is prime and its reverse (310301320001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100023103013 - 2¹⁰ = 100023101989 is a prime.

It is a super-2 number, since 2×100023103013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100023103073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011551506 + 50011551507.

It is an arithmetic number, because the mean of its divisors is an integer number (50011551507).

Almost surely, 2^100023103013 is an apocalyptic number.

It is an amenable number.

100023103013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100023103013 is an equidigital number, since it uses as much as digits as its factorization.

100023103013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100023103013 its reverse (310301320001), we get a palindrome (410324423014).

The spelling of 100023103013 in words is "one hundred billion, twenty-three million, one hundred three thousand, thirteen".