Search a number
-
+
133103111233333 is a prime number
BaseRepresentation
bin11110010000111001111011…
…101010011101111100110101
3122110021112101200020221020211
4132100321323222131330311
5114421230132433431313
61151030420345025421
740015245115036303
oct3620717352357465
9573245350227224
10133103111233333
113945779233371a
1212b18336785271
135936753353897
1424c23213d5273
15105c4b623de3d
hex790e7ba9df35

133103111233333 has 2 divisors, whose sum is σ = 133103111233334. Its totient is φ = 133103111233332.

The previous prime is 133103111233331. The next prime is 133103111233373. The reversal of 133103111233333 is 333332111301331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133098169565124 + 4941668209 = 11536818^2 + 70297^2 .

It is a cyclic number.

It is not a de Polignac number, because 133103111233333 - 21 = 133103111233331 is a prime.

Together with 133103111233331, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 133103111233295 and 133103111233304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133103111233331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66551555616666 + 66551555616667.

It is an arithmetic number, because the mean of its divisors is an integer number (66551555616667).

Almost surely, 2133103111233333 is an apocalyptic number.

It is an amenable number.

133103111233333 is a deficient number, since it is larger than the sum of its proper divisors (1).

133103111233333 is an equidigital number, since it uses as much as digits as its factorization.

133103111233333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 31.

Adding to 133103111233333 its reverse (333332111301331), we get a palindrome (466435222534664).

The spelling of 133103111233333 in words is "one hundred thirty-three trillion, one hundred three billion, one hundred eleven million, two hundred thirty-three thousand, three hundred thirty-three".