Search a number
-
+
133113311333 is a prime number
BaseRepresentation
bin111101111111000101…
…0111111000001100101
3110201120220011211212222
41323332022333001211
54140104001430313
6141052412122125
712421446322532
oct1737612770145
9421526154788
10133113311333
11514a8aa3002
122196b466345
13c724bb06a2
14662ab69d89
1536e133b208
hex1efe2bf065

133113311333 has 2 divisors, whose sum is σ = 133113311334. Its totient is φ = 133113311332.

The previous prime is 133113311299. The next prime is 133113311351. The reversal of 133113311333 is 333113311331.

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., 130477721089 + 2635590244 = 361217^2 + 51338^2 .

It is an emirp because it is prime and its reverse (333113311331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133113311333 - 28 = 133113311077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133113311633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66556655666 + 66556655667.

It is an arithmetic number, because the mean of its divisors is an integer number (66556655667).

Almost surely, 2133113311333 is an apocalyptic number.

It is an amenable number.

133113311333 is a deficient number, since it is larger than the sum of its proper divisors (1).

133113311333 is an equidigital number, since it uses as much as digits as its factorization.

133113311333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2187, while the sum is 26.

Adding to 133113311333 its reverse (333113311331), we get a palindrome (466226622664).

The spelling of 133113311333 in words is "one hundred thirty-three billion, one hundred thirteen million, three hundred eleven thousand, three hundred thirty-three".