2013330331333 has 2 divisors, whose sum is σ = 2013330331334. Its totient is φ = 2013330331332.

The previous prime is 2013330331297. The next prime is 2013330331373. The reversal of 2013330331333 is 3331330333102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1957936943169 + 55393388164 = 1399263^2 + 235358^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013330331333 - 2¹³ = 2013330323141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013330331373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006665165666 + 1006665165667.

It is an arithmetic number, because the mean of its divisors is an integer number (1006665165667).

Almost surely, 2^{2013330331333} is an apocalyptic number.

It is an amenable number.

2013330331333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013330331333 is an equidigital number, since it uses as much as digits as its factorization.

2013330331333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 28.

Adding to 2013330331333 its reverse (3331330333102), we get a palindrome (5344660664435).

The spelling of 2013330331333 in words is "two trillion, thirteen billion, three hundred thirty million, three hundred thirty-one thousand, three hundred thirty-three".