20003002003013 has 2 divisors, whose sum is σ = 20003002003014. Its totient is φ = 20003002003012.

The previous prime is 20003002002961. The next prime is 20003002003043. The reversal of 20003002003013 is 31030020030002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19056909238084 + 946092764929 = 4365422^2 + 972673^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20003002003013 is a prime.

It is a super-2 number, since 2×20003002003013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20003002003043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001501001506 + 10001501001507.

It is an arithmetic number, because the mean of its divisors is an integer number (10001501001507).

Almost surely, 2^{20003002003013} is an apocalyptic number.

It is an amenable number.

20003002003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20003002003013 is an equidigital number, since it uses as much as digits as its factorization.

20003002003013 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 14.

Adding to 20003002003013 its reverse (31030020030002), we get a palindrome (51033022033015).

The spelling of 20003002003013 in words is "twenty trillion, three billion, two million, three thousand, thirteen".