10312102013 has 2 divisors, whose sum is σ = 10312102014. Its totient is φ = 10312102012.

The previous prime is 10312102001. The next prime is 10312102037. The reversal of 10312102013 is 31020121301.

10312102013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10053471289 + 258630724 = 100267^2 + 16082^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312102013 - 2⁴ = 10312101997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312102093) 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, 5156051006 + 5156051007.

It is an arithmetic number, because the mean of its divisors is an integer number (5156051007).

Almost surely, 2^10312102013 is an apocalyptic number.

It is an amenable number.

10312102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312102013 is an equidigital number, since it uses as much as digits as its factorization.

10312102013 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 10312102013 its reverse (31020121301), we get a palindrome (41332223314).

The spelling of 10312102013 in words is "ten billion, three hundred twelve million, one hundred two thousand, thirteen".