Search a number
-
+
133345013 is a prime number
BaseRepresentation
bin1111111001010…
…10111011110101
3100021220121222012
413330222323311
5233114020023
621122014005
73206261654
oct774527365
9307817865
10133345013
11692a709a
12387a7305
132181a199
14139d119b
15ba8e978
hex7f2aef5

133345013 has 2 divisors, whose sum is σ = 133345014. Its totient is φ = 133345012.

The previous prime is 133344989. The next prime is 133345019. The reversal of 133345013 is 310543331.

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., 106543684 + 26801329 = 10322^2 + 5177^2 .

It is a cyclic number.

It is not a de Polignac number, because 133345013 - 216 = 133279477 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133345013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133345019) 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, 66672506 + 66672507.

It is an arithmetic number, because the mean of its divisors is an integer number (66672507).

Almost surely, 2133345013 is an apocalyptic number.

It is an amenable number.

133345013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133345013 is an equidigital number, since it uses as much as digits as its factorization.

133345013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 133345013 is about 11547.5111171196. The cubic root of 133345013 is about 510.8878715580.

Adding to 133345013 its reverse (310543331), we get a palindrome (443888344).

The spelling of 133345013 in words is "one hundred thirty-three million, three hundred forty-five thousand, thirteen".