Search a number
-
+
133210313 is a prime number
BaseRepresentation
bin1111111000010…
…10000011001001
3100021122210012022
413330022003021
5233100212223
621115054225
73205161155
oct774120311
9307583168
10133210313
1169214975
1238741375
13217a0a92
1413998065
15ba64ac8
hex7f0a0c9

133210313 has 2 divisors, whose sum is σ = 133210314. Its totient is φ = 133210312.

The previous prime is 133210309. The next prime is 133210331. The reversal of 133210313 is 313012331.

Together with next prime (133210331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78996544 + 54213769 = 8888^2 + 7363^2 .

It is an emirp because it is prime and its reverse (313012331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133210313 - 22 = 133210309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133210291 and 133210300.

It is not a weakly prime, because it can be changed into another prime (133210333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66605156 + 66605157.

It is an arithmetic number, because the mean of its divisors is an integer number (66605157).

Almost surely, 2133210313 is an apocalyptic number.

It is an amenable number.

133210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

133210313 is an equidigital number, since it uses as much as digits as its factorization.

133210313 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 17.

The square root of 133210313 is about 11541.6772178050. The cubic root of 133210313 is about 510.7157871790.

Adding to 133210313 its reverse (313012331), we get a palindrome (446222644).

The spelling of 133210313 in words is "one hundred thirty-three million, two hundred ten thousand, three hundred thirteen".