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12133110002201 is a prime number
BaseRepresentation
bin1011000010001111010110…
…1101100011001000011001
31120221220200022000211101222
42300203311231203020121
53042242102130032301
641445512423221425
72361405530243456
oct260436555431031
946856608024358
1012133110002201
113958694317691
12143b589ba7875
136a01bb9b1cb6
142dd36212682d
15160923d0631b
hexb08f5b63219

12133110002201 has 2 divisors, whose sum is σ = 12133110002202. Its totient is φ = 12133110002200.

The previous prime is 12133110002197. The next prime is 12133110002203. The reversal of 12133110002201 is 10220001133121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8302027992976 + 3831082009225 = 2881324^2 + 1957315^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133110002201 - 22 = 12133110002197 is a prime.

Together with 12133110002203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12133110002201.

It is not a weakly prime, because it can be changed into another prime (12133110002203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066555001100 + 6066555001101.

It is an arithmetic number, because the mean of its divisors is an integer number (6066555001101).

Almost surely, 212133110002201 is an apocalyptic number.

It is an amenable number.

12133110002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133110002201 is an equidigital number, since it uses as much as digits as its factorization.

12133110002201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12133110002201 its reverse (10220001133121), we get a palindrome (22353111135322).

The spelling of 12133110002201 in words is "twelve trillion, one hundred thirty-three billion, one hundred ten million, two thousand, two hundred one".