1002312013013 has 2 divisors, whose sum is σ = 1002312013014. Its totient is φ = 1002312013012.

The previous prime is 1002312012991. The next prime is 1002312013039. The reversal of 1002312013013 is 3103102132001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 723821503729 + 278490509284 = 850777^2 + 527722^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002312013013 - 2¹² = 1002312008917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002312012982 and 1002312013000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002312010013) 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, 501156006506 + 501156006507.

It is an arithmetic number, because the mean of its divisors is an integer number (501156006507).

Almost surely, 2^{1002312013013} is an apocalyptic number.

It is an amenable number.

1002312013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002312013013 is an equidigital number, since it uses as much as digits as its factorization.

1002312013013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1002312013013 its reverse (3103102132001), we get a palindrome (4105414145014).

The spelling of 1002312013013 in words is "one trillion, two billion, three hundred twelve million, thirteen thousand, thirteen".