2003012032013 has 4 divisors (see below), whose sum is σ = 2003073701340. Its totient is φ = 2002950362688.

The previous prime is 2003012032001. The next prime is 2003012032079. The reversal of 2003012032013 is 3102302103002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1792993306729 + 210018725284 = 1339027^2 + 458278^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003012032013 - 2⁶ = 2003012031949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003012031982 and 2003012032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003012632013) 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, 30785918 + ... + 30850911.

It is an arithmetic number, because the mean of its divisors is an integer number (500768425335).

Almost surely, 2^{2003012032013} is an apocalyptic number.

It is an amenable number.

2003012032013 is a deficient number, since it is larger than the sum of its proper divisors (61669327).

2003012032013 is an equidigital number, since it uses as much as digits as its factorization.

2003012032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61669326.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2003012032013 its reverse (3102302103002), we get a palindrome (5105314135015).

The spelling of 2003012032013 in words is "two trillion, three billion, twelve million, thirty-two thousand, thirteen".