10312111013 has 2 divisors, whose sum is σ = 10312111014. Its totient is φ = 10312111012.

The previous prime is 10312110997. The next prime is 10312111027. The reversal of 10312111013 is 31011121301.

It is a happy number.

10312111013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10312111027) can be obtained adding 10312111013 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10204636324 + 107474689 = 101018^2 + 10367^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312111013 - 2⁴ = 10312110997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312141013) 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, 5156055506 + 5156055507.

It is an arithmetic number, because the mean of its divisors is an integer number (5156055507).

Almost surely, 2^10312111013 is an apocalyptic number.

It is an amenable number.

10312111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312111013 is an equidigital number, since it uses as much as digits as its factorization.

10312111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10312111013 its reverse (31011121301), we get a palindrome (41323232314).

The spelling of 10312111013 in words is "ten billion, three hundred twelve million, one hundred eleven thousand, thirteen".