1331313013 has 2 divisors, whose sum is σ = 1331313014. Its totient is φ = 1331313012.

The previous prime is 1331312953. The next prime is 1331313031. The reversal of 1331313013 is 3103131331.

It is a happy number.

Together with next prime (1331313031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 857728369 + 473584644 = 29287^2 + 21762^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331313013 - 2¹⁷ = 1331181941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331313083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665656506 + 665656507.

It is an arithmetic number, because the mean of its divisors is an integer number (665656507).

Almost surely, 2^1331313013 is an apocalyptic number.

It is an amenable number.

1331313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331313013 is an equidigital number, since it uses as much as digits as its factorization.

1331313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 1331313013 is about 36487.1623040214. The cubic root of 1331313013 is about 1100.0862227179.

Adding to 1331313013 its reverse (3103131331), we get a palindrome (4434444344).

The spelling of 1331313013 in words is "one billion, three hundred thirty-one million, three hundred thirteen thousand, thirteen".