20003033200013 has 2 divisors, whose sum is σ = 20003033200014. Its totient is φ = 20003033200012.

The previous prime is 20003033199997. The next prime is 20003033200027. The reversal of 20003033200013 is 31000233030002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17711194490089 + 2291838709924 = 4208467^2 + 1513882^2 .

It is a cyclic number.

It is not a de Polignac number, because 20003033200013 - 2⁴ = 20003033199997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20003033199964 and 20003033200000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20003033200063) 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, 10001516600006 + 10001516600007.

It is an arithmetic number, because the mean of its divisors is an integer number (10001516600007).

Almost surely, 2^{20003033200013} is an apocalyptic number.

It is an amenable number.

20003033200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20003033200013 is an equidigital number, since it uses as much as digits as its factorization.

20003033200013 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 17.

Adding to 20003033200013 its reverse (31000233030002), we get a palindrome (51003266230015).

The spelling of 20003033200013 in words is "twenty trillion, three billion, thirty-three million, two hundred thousand, thirteen".