1313300033 has 2 divisors, whose sum is σ = 1313300034. Its totient is φ = 1313300032.

The previous prime is 1313299979. The next prime is 1313300039. The reversal of 1313300033 is 3300033131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1268570689 + 44729344 = 35617^2 + 6688^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313300033 - 2⁸ = 1313299777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313299984 and 1313300020.

It is not a weakly prime, because it can be changed into another prime (1313300039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656650016 + 656650017.

It is an arithmetic number, because the mean of its divisors is an integer number (656650017).

Almost surely, 2^1313300033 is an apocalyptic number.

It is an amenable number.

1313300033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313300033 is an equidigital number, since it uses as much as digits as its factorization.

1313300033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 1313300033 is about 36239.4816877946. The cubic root of 1313300033 is about 1095.1022007290.

Adding to 1313300033 its reverse (3300033131), we get a palindrome (4613333164).

The spelling of 1313300033 in words is "one billion, three hundred thirteen million, three hundred thousand, thirty-three".