1002103110013 has 2 divisors, whose sum is σ = 1002103110014. Its totient is φ = 1002103110012.

The previous prime is 1002103110011. The next prime is 1002103110037. The reversal of 1002103110013 is 3100113012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 939431993049 + 62671116964 = 969243^2 + 250342^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002103110013 - 2¹ = 1002103110011 is a prime.

Together with 1002103110011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1002103109975 and 1002103110002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002103110011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501051555006 + 501051555007.

It is an arithmetic number, because the mean of its divisors is an integer number (501051555007).

Almost surely, 2^{1002103110013} is an apocalyptic number.

It is an amenable number.

1002103110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002103110013 is an equidigital number, since it uses as much as digits as its factorization.

1002103110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1002103110013 its reverse (3100113012001), we get a palindrome (4102216122014).

The spelling of 1002103110013 in words is "one trillion, two billion, one hundred three million, one hundred ten thousand, thirteen".