2012333002013 has 2 divisors, whose sum is σ = 2012333002014. Its totient is φ = 2012333002012.

The previous prime is 2012333001983. The next prime is 2012333002063. The reversal of 2012333002013 is 3102003332102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1590532112569 + 421800889444 = 1261163^2 + 649462^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012333002013 - 2⁶ = 2012333001949 is a prime.

It is a super-2 number, since 2×2012333002013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012333002063) 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, 1006166501006 + 1006166501007.

It is an arithmetic number, because the mean of its divisors is an integer number (1006166501007).

Almost surely, 2^{2012333002013} is an apocalyptic number.

It is an amenable number.

2012333002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012333002013 is an equidigital number, since it uses as much as digits as its factorization.

2012333002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2012333002013 its reverse (3102003332102), we get a palindrome (5114336334115).

The spelling of 2012333002013 in words is "two trillion, twelve billion, three hundred thirty-three million, two thousand, thirteen".