10031334013 has 2 divisors, whose sum is σ = 10031334014. Its totient is φ = 10031334012.

The previous prime is 10031333953. The next prime is 10031334029. The reversal of 10031334013 is 31043313001.

10031334013 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., 10028420164 + 2913849 = 100142^2 + 1707^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031334013 - 2²⁹ = 9494463101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031334043) 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, 5015667006 + 5015667007.

It is an arithmetic number, because the mean of its divisors is an integer number (5015667007).

Almost surely, 2^10031334013 is an apocalyptic number.

It is an amenable number.

10031334013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031334013 is an equidigital number, since it uses as much as digits as its factorization.

10031334013 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 10031334013 its reverse (31043313001), we get a palindrome (41074647014).

The spelling of 10031334013 in words is "ten billion, thirty-one million, three hundred thirty-four thousand, thirteen".