2003120200013 has 4 divisors (see below), whose sum is σ = 2011501456320. Its totient is φ = 1994738943708.

The previous prime is 2003120200001. The next prime is 2003120200027. The reversal of 2003120200013 is 3100020213002.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2003120200013 - 2⁸ = 2003120199757 is a prime.

It is a super-2 number, since 2×2003120200013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003120208013) 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 in 3 ways as a sum of consecutive naturals, for example, 4190627795 + ... + 4190628272.

It is an arithmetic number, because the mean of its divisors is an integer number (502875364080).

Almost surely, 2^{2003120200013} is an apocalyptic number.

It is an amenable number.

2003120200013 is a deficient number, since it is larger than the sum of its proper divisors (8381256307).

2003120200013 is an equidigital number, since it uses as much as digits as its factorization.

2003120200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8381256306.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2003120200013 its reverse (3100020213002), we get a palindrome (5103140413015).

The spelling of 2003120200013 in words is "two trillion, three billion, one hundred twenty million, two hundred thousand, thirteen".