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13211200133 is a prime number
BaseRepresentation
bin11000100110111001…
…01110101010000101
31021002201012111120122
430103130232222011
5204024031401013
610022533511325
7645246230315
oct142334565205
937081174518
1013211200133
11566a41821a
1226884a2545
13132707abb1
148d4825445
15524c6ea08
hex31372ea85

13211200133 has 2 divisors, whose sum is σ = 13211200134. Its totient is φ = 13211200132.

The previous prime is 13211200103. The next prime is 13211200151. The reversal of 13211200133 is 33100211231.

13211200133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13072949569 + 138250564 = 114337^2 + 11758^2 .

It is a cyclic number.

It is not a de Polignac number, because 13211200133 - 28 = 13211199877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13211200103) 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, 6605600066 + 6605600067.

It is an arithmetic number, because the mean of its divisors is an integer number (6605600067).

Almost surely, 213211200133 is an apocalyptic number.

It is an amenable number.

13211200133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13211200133 is an equidigital number, since it uses as much as digits as its factorization.

13211200133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13211200133 its reverse (33100211231), we get a palindrome (46311411364).

The spelling of 13211200133 in words is "thirteen billion, two hundred eleven million, two hundred thousand, one hundred thirty-three".