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13233213113 is a prime number
BaseRepresentation
bin11000101001100001…
…01100111010111001
31021011020121212201012
430110300230322321
5204100200304423
610025041403305
7645634312151
oct142460547271
937136555635
1013233213113
11568089296a
122693939535
13132b7b7623
148d7715761
15526b6c078
hex314c2ceb9

13233213113 has 2 divisors, whose sum is σ = 13233213114. Its totient is φ = 13233213112.

The previous prime is 13233213109. The next prime is 13233213137. The reversal of 13233213113 is 31131233231.

13233213113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9854929984 + 3378283129 = 99272^2 + 58123^2 .

It is a cyclic number.

It is not a de Polignac number, because 13233213113 - 22 = 13233213109 is a prime.

It is not a weakly prime, because it can be changed into another prime (13233213193) 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, 6616606556 + 6616606557.

It is an arithmetic number, because the mean of its divisors is an integer number (6616606557).

Almost surely, 213233213113 is an apocalyptic number.

It is an amenable number.

13233213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13233213113 is an equidigital number, since it uses as much as digits as its factorization.

13233213113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 23.

Adding to 13233213113 its reverse (31131233231), we get a palindrome (44364446344).

The spelling of 13233213113 in words is "thirteen billion, two hundred thirty-three million, two hundred thirteen thousand, one hundred thirteen".