Search a number
-
+
133101332033 is a prime number
BaseRepresentation
bin111101111110101110…
…1010010011001000001
3110201120001122020101012
41323331131102121001
54140042420111113
6141051303250305
712421242440465
oct1737535223101
9421501566335
10133101332033
11514a226085a
1221967449995
13c722577c47
14662932c4a5
1536e0271aa8
hex1efd752641

133101332033 has 2 divisors, whose sum is σ = 133101332034. Its totient is φ = 133101332032.

The previous prime is 133101332029. The next prime is 133101332041. The reversal of 133101332033 is 330233101331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80002425409 + 53098906624 = 282847^2 + 230432^2 .

It is a cyclic number.

It is not a de Polignac number, because 133101332033 - 22 = 133101332029 is a prime.

It is not a weakly prime, because it can be changed into another prime (133101338033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66550666016 + 66550666017.

It is an arithmetic number, because the mean of its divisors is an integer number (66550666017).

Almost surely, 2133101332033 is an apocalyptic number.

It is an amenable number.

133101332033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133101332033 is an equidigital number, since it uses as much as digits as its factorization.

133101332033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 133101332033 its reverse (330233101331), we get a palindrome (463334433364).

The spelling of 133101332033 in words is "one hundred thirty-three billion, one hundred one million, three hundred thirty-two thousand, thirty-three".