1313113312033 has 2 divisors, whose sum is σ = 1313113312034. Its totient is φ = 1313113312032.

The previous prime is 1313113312009. The next prime is 1313113312111. The reversal of 1313113312033 is 3302133113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1263068042769 + 50045269264 = 1123863^2 + 223708^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313113312033 - 2³³ = 1304523377441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313113311989 and 1313113312007.

It is not a weakly prime, because it can be changed into another prime (1313113312003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656556656016 + 656556656017.

It is an arithmetic number, because the mean of its divisors is an integer number (656556656017).

Almost surely, 2^{1313113312033} is an apocalyptic number.

It is an amenable number.

1313113312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313113312033 is an equidigital number, since it uses as much as digits as its factorization.

1313113312033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1313113312033 its reverse (3302133113131), we get a palindrome (4615246425164).

The spelling of 1313113312033 in words is "one trillion, three hundred thirteen billion, one hundred thirteen million, three hundred twelve thousand, thirty-three".