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13213331353 is a prime number
BaseRepresentation
bin11000100111001001…
…10110111110011001
31021002212012210001201
430103210312332121
5204030103100403
610023051314201
7645303314635
oct142344667631
937085183051
1013213331353
115670643462
12268914b961
131327645c81
148d4c1bdc5
1552504121d
hex313936f99

13213331353 has 2 divisors, whose sum is σ = 13213331354. Its totient is φ = 13213331352.

The previous prime is 13213331321. The next prime is 13213331357. The reversal of 13213331353 is 35313331231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11653634304 + 1559697049 = 107952^2 + 39493^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213331353 - 25 = 13213331321 is a prime.

It is not a weakly prime, because it can be changed into another prime (13213331357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606665676 + 6606665677.

It is an arithmetic number, because the mean of its divisors is an integer number (6606665677).

Almost surely, 213213331353 is an apocalyptic number.

It is an amenable number.

13213331353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213331353 is an equidigital number, since it uses as much as digits as its factorization.

13213331353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7290, while the sum is 28.

Adding to 13213331353 its reverse (35313331231), we get a palindrome (48526662584).

The spelling of 13213331353 in words is "thirteen billion, two hundred thirteen million, three hundred thirty-one thousand, three hundred fifty-three".