10001312213 has 2 divisors, whose sum is σ = 10001312214. Its totient is φ = 10001312212.

The previous prime is 10001312201. The next prime is 10001312267. The reversal of 10001312213 is 31221310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9470793124 + 530519089 = 97318^2 + 23033^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001312213 - 2⁴ = 10001312197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001317213) 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, 5000656106 + 5000656107.

It is an arithmetic number, because the mean of its divisors is an integer number (5000656107).

Almost surely, 2^10001312213 is an apocalyptic number.

It is an amenable number.

10001312213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001312213 is an equidigital number, since it uses as much as digits as its factorization.

10001312213 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 10001312213 its reverse (31221310001), we get a palindrome (41222622214).

It can be divided in two parts, 10001 and 312213, that multiplied together give a palindrome (3122442213).

The spelling of 10001312213 in words is "ten billion, one million, three hundred twelve thousand, two hundred thirteen".