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13203310033 is a prime number
BaseRepresentation
bin11000100101111101…
…01000010111010001
31021002011100122101201
430102332220113101
5204020021410113
610022052431201
7645122166154
oct142276502721
937064318351
1013203310033
115665a19281
122685918501
1313255477b4
148d376dc9b
15524211cdd
hex312fa85d1

13203310033 has 2 divisors, whose sum is σ = 13203310034. Its totient is φ = 13203310032.

The previous prime is 13203310013. The next prime is 13203310093. The reversal of 13203310033 is 33001330231.

13203310033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9950661009 + 3252649024 = 99753^2 + 57032^2 .

It is an emirp because it is prime and its reverse (33001330231) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13203310033 is a prime.

It is a super-2 number, since 2×132033100332 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13203310013) 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, 6601655016 + 6601655017.

It is an arithmetic number, because the mean of its divisors is an integer number (6601655017).

Almost surely, 213203310033 is an apocalyptic number.

It is an amenable number.

13203310033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13203310033 is an equidigital number, since it uses as much as digits as its factorization.

13203310033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13203310033 its reverse (33001330231), we get a palindrome (46204640264).

The spelling of 13203310033 in words is "thirteen billion, two hundred three million, three hundred ten thousand, thirty-three".