1113312321013 has 2 divisors, whose sum is σ = 1113312321014. Its totient is φ = 1113312321012.

The previous prime is 1113312321007. The next prime is 1113312321019. The reversal of 1113312321013 is 3101232133111.

It is a balanced prime because it is at equal distance from previous prime (1113312321007) and next prime (1113312321019).

It can be written as a sum of positive squares in only one way, i.e., 1112607259204 + 705061809 = 1054802^2 + 26553^2 .

It is a cyclic number.

It is not a de Polignac number, because 1113312321013 - 2³³ = 1104722386421 is a prime.

It is a super-2 number, since 2×1113312321013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1113312321019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556656160506 + 556656160507.

It is an arithmetic number, because the mean of its divisors is an integer number (556656160507).

Almost surely, 2^{1113312321013} is an apocalyptic number.

It is an amenable number.

1113312321013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1113312321013 is an equidigital number, since it uses as much as digits as its factorization.

1113312321013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1113312321013 its reverse (3101232133111), we get a palindrome (4214544454124).

The spelling of 1113312321013 in words is "one trillion, one hundred thirteen billion, three hundred twelve million, three hundred twenty-one thousand, thirteen".