100123310213 has 2 divisors, whose sum is σ = 100123310214. Its totient is φ = 100123310212.

The previous prime is 100123310191. The next prime is 100123310249. The reversal of 100123310213 is 312013321001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55612015684 + 44511294529 = 235822^2 + 210977^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123310213 - 2⁶ = 100123310149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100123310191 and 100123310200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100123312213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061655106 + 50061655107.

It is an arithmetic number, because the mean of its divisors is an integer number (50061655107).

Almost surely, 2^100123310213 is an apocalyptic number.

It is an amenable number.

100123310213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123310213 is an equidigital number, since it uses as much as digits as its factorization.

100123310213 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 100123310213 its reverse (312013321001), we get a palindrome (412136631214).

The spelling of 100123310213 in words is "one hundred billion, one hundred twenty-three million, three hundred ten thousand, two hundred thirteen".