100123001213 has 2 divisors, whose sum is σ = 100123001214. Its totient is φ = 100123001212.

The previous prime is 100123001201. The next prime is 100123001221. The reversal of 100123001213 is 312100321001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56859833209 + 43263168004 = 238453^2 + 207998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100123001213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100123001513) 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, 50061500606 + 50061500607.

It is an arithmetic number, because the mean of its divisors is an integer number (50061500607).

Almost surely, 2^100123001213 is an apocalyptic number.

It is an amenable number.

100123001213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123001213 is an equidigital number, since it uses as much as digits as its factorization.

100123001213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100123001213 its reverse (312100321001), we get a palindrome (412223322214).

The spelling of 100123001213 in words is "one hundred billion, one hundred twenty-three million, one thousand, two hundred thirteen".