100123213 has 2 divisors, whose sum is σ = 100123214. Its totient is φ = 100123212.

The previous prime is 100123193. The next prime is 100123237. The reversal of 100123213 is 312321001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74701449 + 25421764 = 8643^2 + 5042^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123213 - 2¹⁷ = 99992141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100123193 and 100123202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100123253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061606 + 50061607.

It is an arithmetic number, because the mean of its divisors is an integer number (50061607).

Almost surely, 2^100123213 is an apocalyptic number.

It is an amenable number.

100123213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123213 is an equidigital number, since it uses as much as digits as its factorization.

100123213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100123213 is about 10006.1587534878. The cubic root of 100123213 is about 464.3494398142.

Adding to 100123213 its reverse (312321001), we get a palindrome (412444214).

It can be divided in two parts, 10012 and 3213, that added together give a square (13225 = 115²).

The spelling of 100123213 in words is "one hundred million, one hundred twenty-three thousand, two hundred thirteen".