10213123313 has 2 divisors, whose sum is σ = 10213123314. Its totient is φ = 10213123312.

The previous prime is 10213123243. The next prime is 10213123339. The reversal of 10213123313 is 31332131201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6455801104 + 3757322209 = 80348^2 + 61297^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213123313 - 2⁸ = 10213123057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10213123913) 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, 5106561656 + 5106561657.

It is an arithmetic number, because the mean of its divisors is an integer number (5106561657).

Almost surely, 2^10213123313 is an apocalyptic number.

It is an amenable number.

10213123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213123313 is an equidigital number, since it uses as much as digits as its factorization.

10213123313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10213123313 its reverse (31332131201), we get a palindrome (41545254514).

The spelling of 10213123313 in words is "ten billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred thirteen".