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13132033 is a prime number
BaseRepresentation
bin110010000110…
…000100000001
3220201011202121
4302012010001
511330211113
61145244241
7216422545
oct62060401
926634677
1013132033
11745a322
124493681
13294a345
141a5ba25
151245e8d
hexc86101

13132033 has 2 divisors, whose sum is σ = 13132034. Its totient is φ = 13132032.

The previous prime is 13132001. The next prime is 13132051. The reversal of 13132033 is 33023131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11235904 + 1896129 = 3352^2 + 1377^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132033 - 25 = 13132001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131998 and 13132016.

It is not a weakly prime, because it can be changed into another prime (13132073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566016 + 6566017.

It is an arithmetic number, because the mean of its divisors is an integer number (6566017).

Almost surely, 213132033 is an apocalyptic number.

It is an amenable number.

13132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132033 is an equidigital number, since it uses as much as digits as its factorization.

13132033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 13132033 is about 3623.8147027683. The cubic root of 13132033 is about 235.9268242439.

Adding to 13132033 its reverse (33023131), we get a palindrome (46155164).

The spelling of 13132033 in words is "thirteen million, one hundred thirty-two thousand, thirty-three".