1331320338113 has 2 divisors, whose sum is σ = 1331320338114. Its totient is φ = 1331320338112.

The previous prime is 1331320338109. The next prime is 1331320338151. The reversal of 1331320338113 is 3118330231331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 790555713424 + 540764624689 = 889132^2 + 735367^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331320338113 - 2² = 1331320338109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331320338113.

It is not a weakly prime, because it can be changed into another prime (1331320338013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665660169056 + 665660169057.

It is an arithmetic number, because the mean of its divisors is an integer number (665660169057).

Almost surely, 2^{1331320338113} is an apocalyptic number.

It is an amenable number.

1331320338113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331320338113 is an equidigital number, since it uses as much as digits as its factorization.

1331320338113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 32.

Adding to 1331320338113 its reverse (3118330231331), we get a palindrome (4449650569444).

The spelling of 1331320338113 in words is "one trillion, three hundred thirty-one billion, three hundred twenty million, three hundred thirty-eight thousand, one hundred thirteen".