2012003001013 has 2 divisors, whose sum is σ = 2012003001014. Its totient is φ = 2012003001012.

The previous prime is 2012003001011. The next prime is 2012003001017. The reversal of 2012003001013 is 3101003002102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1202143394929 + 809859606084 = 1096423^2 + 899922^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012003001013 - 2¹ = 2012003001011 is a prime.

Together with 2012003001011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2012003000984 and 2012003001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012003001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006001500506 + 1006001500507.

It is an arithmetic number, because the mean of its divisors is an integer number (1006001500507).

Almost surely, 2^{2012003001013} is an apocalyptic number.

It is an amenable number.

2012003001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012003001013 is an equidigital number, since it uses as much as digits as its factorization.

2012003001013 is an evil number, because the sum of its binary digits is even.

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

Adding to 2012003001013 its reverse (3101003002102), we get a palindrome (5113006003115).

The spelling of 2012003001013 in words is "two trillion, twelve billion, three million, one thousand, thirteen".