1320023133313 has 2 divisors, whose sum is σ = 1320023133314. Its totient is φ = 1320023133312.

The previous prime is 1320023133287. The next prime is 1320023133379. The reversal of 1320023133313 is 3133313200231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1240178458689 + 79844674624 = 1113633^2 + 282568^2 .

It is a cyclic number.

It is not a de Polignac number, because 1320023133313 - 2³⁷ = 1182584179841 is a prime.

It is a super-2 number, since 2×1320023133313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1320023130313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 660011566656 + 660011566657.

It is an arithmetic number, because the mean of its divisors is an integer number (660011566657).

Almost surely, 2^{1320023133313} is an apocalyptic number.

It is an amenable number.

1320023133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1320023133313 is an equidigital number, since it uses as much as digits as its factorization.

1320023133313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1320023133313 its reverse (3133313200231), we get a palindrome (4453336333544).

The spelling of 1320023133313 in words is "one trillion, three hundred twenty billion, twenty-three million, one hundred thirty-three thousand, three hundred thirteen".