10302123313 has 2 divisors, whose sum is σ = 10302123314. Its totient is φ = 10302123312.

The previous prime is 10302123263. The next prime is 10302123343. The reversal of 10302123313 is 31332120301.

10302123313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5923919089 + 4378204224 = 76967^2 + 66168^2 .

It is a cyclic number.

It is not a de Polignac number, because 10302123313 - 2⁹ = 10302122801 is a prime.

It is a super-2 number, since 2×10302123313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10302123343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5151061656 + 5151061657.

It is an arithmetic number, because the mean of its divisors is an integer number (5151061657).

Almost surely, 2^10302123313 is an apocalyptic number.

It is an amenable number.

10302123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10302123313 is an equidigital number, since it uses as much as digits as its factorization.

10302123313 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 19.

Adding to 10302123313 its reverse (31332120301), we get a palindrome (41634243614).

The spelling of 10302123313 in words is "ten billion, three hundred two million, one hundred twenty-three thousand, three hundred thirteen".