1331013331013 has 2 divisors, whose sum is σ = 1331013331014. Its totient is φ = 1331013331012.

The previous prime is 1331013331003. The next prime is 1331013331031. The reversal of 1331013331013 is 3101333101331.

Together with next prime (1331013331031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 750541530244 + 580471800769 = 866338^2 + 761887^2 .

It is an emirp because it is prime and its reverse (3101333101331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1331013331013 - 2¹⁴ = 1331013314629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331013331013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331013331003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665506665506 + 665506665507.

It is an arithmetic number, because the mean of its divisors is an integer number (665506665507).

Almost surely, 2^{1331013331013} is an apocalyptic number.

It is an amenable number.

1331013331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331013331013 is an equidigital number, since it uses as much as digits as its factorization.

1331013331013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 1331013331013 its reverse (3101333101331), we get a palindrome (4432346432344).

The spelling of 1331013331013 in words is "one trillion, three hundred thirty-one billion, thirteen million, three hundred thirty-one thousand, thirteen".