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133313122153 is a prime number
BaseRepresentation
bin111110000101000010…
…1001100111101101001
3110202002211011021210201
41330022011030331221
54141011124402103
6141124310512201
712426423561421
oct1741205147551
9422084137721
10133313122153
11515a0866912
1221a06365661
13c7573cc843
1466494dd481
153703b5951d
hex1f0a14cf69

133313122153 has 2 divisors, whose sum is σ = 133313122154. Its totient is φ = 133313122152.

The previous prime is 133313122141. The next prime is 133313122183. The reversal of 133313122153 is 351221313331.

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., 100712291904 + 32600830249 = 317352^2 + 180557^2 .

It is a cyclic number.

It is not a de Polignac number, because 133313122153 - 225 = 133279567721 is a prime.

It is not a weakly prime, because it can be changed into another prime (133313122183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66656561076 + 66656561077.

It is an arithmetic number, because the mean of its divisors is an integer number (66656561077).

Almost surely, 2133313122153 is an apocalyptic number.

It is an amenable number.

133313122153 is a deficient number, since it is larger than the sum of its proper divisors (1).

133313122153 is an equidigital number, since it uses as much as digits as its factorization.

133313122153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4860, while the sum is 28.

Adding to 133313122153 its reverse (351221313331), we get a palindrome (484534435484).

The spelling of 133313122153 in words is "one hundred thirty-three billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred fifty-three".