1331332333013 has 2 divisors, whose sum is σ = 1331332333014. Its totient is φ = 1331332333012.

The previous prime is 1331332333003. The next prime is 1331332333117. The reversal of 1331332333013 is 3103332331331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1331293669489 + 38663524 = 1153817^2 + 6218^2 .

It is an emirp because it is prime and its reverse (3103332331331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1331332333013 - 2¹⁶ = 1331332267477 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331332333003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665666166506 + 665666166507.

It is an arithmetic number, because the mean of its divisors is an integer number (665666166507).

Almost surely, 2^{1331332333013} is an apocalyptic number.

It is an amenable number.

1331332333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331332333013 is an equidigital number, since it uses as much as digits as its factorization.

1331332333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 1331332333013 its reverse (3103332331331), we get a palindrome (4434664664344).

The spelling of 1331332333013 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-two million, three hundred thirty-three thousand, thirteen".