31013130013 has 2 divisors, whose sum is σ = 31013130014. Its totient is φ = 31013130012.

The previous prime is 31013130007. The next prime is 31013130047. The reversal of 31013130013 is 31003131013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15621750169 + 15391379844 = 124987^2 + 124062^2 .

It is a cyclic number.

It is not a de Polignac number, because 31013130013 - 2⁹ = 31013129501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31013530013) 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, 15506565006 + 15506565007.

It is an arithmetic number, because the mean of its divisors is an integer number (15506565007).

Almost surely, 2^31013130013 is an apocalyptic number.

It is an amenable number.

31013130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013130013 is an equidigital number, since it uses as much as digits as its factorization.

31013130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 31013130013 its reverse (31003131013), we get a palindrome (62016261026).

The spelling of 31013130013 in words is "thirty-one billion, thirteen million, one hundred thirty thousand, thirteen".