1002034203013 has 2 divisors, whose sum is σ = 1002034203014. Its totient is φ = 1002034203012.

The previous prime is 1002034203011. The next prime is 1002034203029. The reversal of 1002034203013 is 3103024302001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 590097439684 + 411936763329 = 768178^2 + 641823^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002034203013 - 2¹ = 1002034203011 is a prime.

Together with 1002034203011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002034203011) 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, 501017101506 + 501017101507.

It is an arithmetic number, because the mean of its divisors is an integer number (501017101507).

Almost surely, 2^{1002034203013} is an apocalyptic number.

It is an amenable number.

1002034203013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002034203013 is an equidigital number, since it uses as much as digits as its factorization.

1002034203013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1002034203013 its reverse (3103024302001), we get a palindrome (4105058505014).

The spelling of 1002034203013 in words is "one trillion, two billion, thirty-four million, two hundred three thousand, thirteen".