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12133310001181 is a prime number
BaseRepresentation
bin1011000010010000000110…
…1000011111000000011101
31120221221012020100211102121
42300210001220133000131
53042243004330014211
641445544330022541
72361413506225045
oct260440150370035
946857166324377
1012133310001181
1139587871a98a6
12143b624b77a51
136a02212689a5
142dd380908725
15160936660271
hexb0901a1f01d

12133310001181 has 2 divisors, whose sum is σ = 12133310001182. Its totient is φ = 12133310001180.

The previous prime is 12133310001119. The next prime is 12133310001221. The reversal of 12133310001181 is 18110001333121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12023660275225 + 109649725956 = 3467515^2 + 331134^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133310001181 - 213 = 12133309992989 is a prime.

It is a super-2 number, since 2×121333100011812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12133310011181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066655000590 + 6066655000591.

It is an arithmetic number, because the mean of its divisors is an integer number (6066655000591).

Almost surely, 212133310001181 is an apocalyptic number.

It is an amenable number.

12133310001181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133310001181 is an equidigital number, since it uses as much as digits as its factorization.

12133310001181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 12133310001181 in words is "twelve trillion, one hundred thirty-three billion, three hundred ten million, one thousand, one hundred eighty-one".