Search a number
133213 is a prime number
BaseRepresentation
bin100000100001011101
320202201211
4200201131
513230323
62504421
71063243
oct404135
9222654
10133213
11910a3
1265111
1348832
1436793
152970d
hex2085d

133213 has 2 divisors, whose sum is σ = 133214. Its totient is φ = 133212.

The previous prime is 133201. The next prime is 133241. The reversal of 133213 is 312331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131769 + 1444 = 363^2 + 38^2 .

It is an emirp because it is prime and its reverse (312331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133213 - 29 = 132701 is a prime.

It is equal to p12433 and since 133213 and 12433 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 133193 and 133202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133253) 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, 66606 + 66607.

It is an arithmetic number, because the mean of its divisors is an integer number (66607).

2133213 is an apocalyptic number.

It is an amenable number.

133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

133213 is an equidigital number, since it uses as much as digits as its factorization.

133213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 13.

The square root of 133213 is about 364.9835612737. The cubic root of 133213 is about 51.0719221058.

Adding to 133213 its reverse (312331), we get a palindrome (445544).

The spelling of 133213 in words is "one hundred thirty-three thousand, two hundred thirteen".