1131313330013 has 2 divisors, whose sum is σ = 1131313330014. Its totient is φ = 1131313330012.

The previous prime is 1131313329967. The next prime is 1131313330027. The reversal of 1131313330013 is 3100333131311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1121095557124 + 10217772889 = 1058818^2 + 101083^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1131313330013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1131313330033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 565656665006 + 565656665007.

It is an arithmetic number, because the mean of its divisors is an integer number (565656665007).

Almost surely, 2^{1131313330013} is an apocalyptic number.

It is an amenable number.

1131313330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131313330013 is an equidigital number, since it uses as much as digits as its factorization.

1131313330013 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 1131313330013 its reverse (3100333131311), we get a palindrome (4231646461324).

The spelling of 1131313330013 in words is "one trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred thirty thousand, thirteen".