1002003200113 has 2 divisors, whose sum is σ = 1002003200114. Its totient is φ = 1002003200112.

The previous prime is 1002003200111. The next prime is 1002003200117. The reversal of 1002003200113 is 3110023002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 976357419664 + 25645780449 = 988108^2 + 160143^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002003200113 - 2¹ = 1002003200111 is a prime.

It is a super-4 number, since 4×1002003200113⁴ (a number of 49 digits) contains 4444 as substring.

Together with 1002003200111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1002003200093 and 1002003200102.

It is not a weakly prime, because it can be changed into another prime (1002003200111) 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, 501001600056 + 501001600057.

It is an arithmetic number, because the mean of its divisors is an integer number (501001600057).

Almost surely, 2^{1002003200113} is an apocalyptic number.

It is an amenable number.

1002003200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002003200113 is an equidigital number, since it uses as much as digits as its factorization.

1002003200113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1002003200113 its reverse (3110023002001), we get a palindrome (4112026202114).

The spelling of 1002003200113 in words is "one trillion, two billion, three million, two hundred thousand, one hundred thirteen".