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1313332331033 is a prime number
BaseRepresentation
bin10011000111001000101…
…101010000001000011001
311122112221101111001011102
4103013020231100020121
5133004201034043113
62443200405441145
7163612412423222
oct23071055201031
94575841431142
101313332331033
11466a87953898
121926484101b5
1396b012a6c08
14477cc102249
1524269620758
hex131c8b50219

1313332331033 has 2 divisors, whose sum is σ = 1313332331034. Its totient is φ = 1313332331032.

The previous prime is 1313332331029. The next prime is 1313332331057. The reversal of 1313332331033 is 3301332333131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 678971056009 + 634361275024 = 823997^2 + 796468^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313332331033 - 22 = 1313332331029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313332330987 and 1313332331005.

It is not a weakly prime, because it can be changed into another prime (1313332301033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656666165516 + 656666165517.

It is an arithmetic number, because the mean of its divisors is an integer number (656666165517).

Almost surely, 21313332331033 is an apocalyptic number.

It is an amenable number.

1313332331033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313332331033 is an equidigital number, since it uses as much as digits as its factorization.

1313332331033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 1313332331033 its reverse (3301332333131), we get a palindrome (4614664664164).

The spelling of 1313332331033 in words is "one trillion, three hundred thirteen billion, three hundred thirty-two million, three hundred thirty-one thousand, thirty-three".