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133001331241 is a prime number
BaseRepresentation
bin111101111011101111…
…1110100001000101001
3110201022002110200002011
41323313133310020221
54134341320044431
6141033332035521
712415616443132
oct1736737641051
9421262420064
10133001331241
1151450869779
1221939a62ba1
13c707933c8c
146619d3ac89
1536d65bbcb1
hex1ef77f4229

133001331241 has 2 divisors, whose sum is σ = 133001331242. Its totient is φ = 133001331240.

The previous prime is 133001331161. The next prime is 133001331247. The reversal of 133001331241 is 142133100331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127906369600 + 5094961641 = 357640^2 + 71379^2 .

It is a cyclic number.

It is not a de Polignac number, because 133001331241 - 217 = 133001200169 is a prime.

It is a super-2 number, since 2×1330013312412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133001331247) 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, 66500665620 + 66500665621.

It is an arithmetic number, because the mean of its divisors is an integer number (66500665621).

Almost surely, 2133001331241 is an apocalyptic number.

It is an amenable number.

133001331241 is a deficient number, since it is larger than the sum of its proper divisors (1).

133001331241 is an equidigital number, since it uses as much as digits as its factorization.

133001331241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 133001331241 its reverse (142133100331), we get a palindrome (275134431572).

The spelling of 133001331241 in words is "one hundred thirty-three billion, one million, three hundred thirty-one thousand, two hundred forty-one".