31302013120013 has 2 divisors, whose sum is σ = 31302013120014. Its totient is φ = 31302013120012.

The previous prime is 31302013120009. The next prime is 31302013120043. The reversal of 31302013120013 is 31002131020313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28913387231689 + 2388625888324 = 5377117^2 + 1545518^2 .

It is a cyclic number.

It is not a de Polignac number, because 31302013120013 - 2² = 31302013120009 is a prime.

It is a super-2 number, since 2×31302013120013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31302013120043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15651006560006 + 15651006560007.

It is an arithmetic number, because the mean of its divisors is an integer number (15651006560007).

Almost surely, 2^{31302013120013} is an apocalyptic number.

It is an amenable number.

31302013120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31302013120013 is an equidigital number, since it uses as much as digits as its factorization.

31302013120013 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 20.

Adding to 31302013120013 its reverse (31002131020313), we get a palindrome (62304144140326).

The spelling of 31302013120013 in words is "thirty-one trillion, three hundred two billion, thirteen million, one hundred twenty thousand, thirteen".