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7133133361 is a prime number
BaseRepresentation
bin1101010010010101…
…01111101000110001
3200102010020201102111
412221022233220301
5104102040231421
63135451445321
7341523430114
oct65112575061
920363221374
107133133361
113030516742
121470a56841
13898a7a993
144b94d457b
152bb365ee1
hex1a92afa31

7133133361 has 2 divisors, whose sum is σ = 7133133362. Its totient is φ = 7133133360.

The previous prime is 7133133331. The next prime is 7133133367. The reversal of 7133133361 is 1633313317.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6175602225 + 957531136 = 78585^2 + 30944^2 .

It is an emirp because it is prime and its reverse (1633313317) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7133133361 - 227 = 6998915633 is a prime.

It is a super-3 number, since 3×71331333613 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (7133133367) 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, 3566566680 + 3566566681.

It is an arithmetic number, because the mean of its divisors is an integer number (3566566681).

Almost surely, 27133133361 is an apocalyptic number.

It is an amenable number.

7133133361 is a deficient number, since it is larger than the sum of its proper divisors (1).

7133133361 is an equidigital number, since it uses as much as digits as its factorization.

7133133361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 31.

The square root of 7133133361 is about 84457.8792120664. The cubic root of 7133133361 is about 1924.9824801689.

Adding to 7133133361 its reverse (1633313317), we get a palindrome (8766446678).

The spelling of 7133133361 in words is "seven billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred sixty-one".