Search a number
-
+
133033113133 is a prime number
BaseRepresentation
bin111101111100101100…
…1000011011000101101
3110201101022021100122021
41323321121003120231
54134422434110013
6141040425150141
712416453542534
oct1737131033055
9421338240567
10133033113133
11514677a69a8
122194862b351
13c7113b102b
14662025131b
1536d9298a8d
hex1ef964362d

133033113133 has 2 divisors, whose sum is σ = 133033113134. Its totient is φ = 133033113132.

The previous prime is 133033113113. The next prime is 133033113137. The reversal of 133033113133 is 331311330331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118613426409 + 14419686724 = 344403^2 + 120082^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133033113133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133033113098 and 133033113107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133033113137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66516556566 + 66516556567.

It is an arithmetic number, because the mean of its divisors is an integer number (66516556567).

Almost surely, 2133033113133 is an apocalyptic number.

It is an amenable number.

133033113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033113133 is an equidigital number, since it uses as much as digits as its factorization.

133033113133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 133033113133 its reverse (331311330331), we get a palindrome (464344443464).

The spelling of 133033113133 in words is "one hundred thirty-three billion, thirty-three million, one hundred thirteen thousand, one hundred thirty-three".