100312010213 has 2 divisors, whose sum is σ = 100312010214. Its totient is φ = 100312010212.

The previous prime is 100312010209. The next prime is 100312010243. The reversal of 100312010213 is 312010213001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97354608289 + 2957401924 = 312017^2 + 54382^2 .

It is a cyclic number.

It is not a de Polignac number, because 100312010213 - 2² = 100312010209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100312010203) 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, 50156005106 + 50156005107.

It is an arithmetic number, because the mean of its divisors is an integer number (50156005107).

Almost surely, 2^100312010213 is an apocalyptic number.

It is an amenable number.

100312010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312010213 is an equidigital number, since it uses as much as digits as its factorization.

100312010213 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 100312010213 its reverse (312010213001), we get a palindrome (412322223214).

The spelling of 100312010213 in words is "one hundred billion, three hundred twelve million, ten thousand, two hundred thirteen".