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131303233223033 is a prime number
BaseRepresentation
bin11101110110101101101010…
…100100101111100101111001
3122012220110121002020111012012
4131312231222210233211321
5114202233010201114113
61143131512252455305
736441226344264314
oct3566555244574571
9565813532214165
10131303233223033
11389234300a4773
121288754317a535
135835ac3481141
14245d178cdd97b
15102a772280aa8
hex776b6a92f979

131303233223033 has 2 divisors, whose sum is σ = 131303233223034. Its totient is φ = 131303233223032.

The previous prime is 131303233222919. The next prime is 131303233223263. The reversal of 131303233223033 is 330322332303131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78527032956304 + 52776200266729 = 8861548^2 + 7264723^2 .

It is a cyclic number.

It is not a de Polignac number, because 131303233223033 - 210 = 131303233222009 is a prime.

It is a super-2 number, since 2×1313032332230332 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131303233223333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651616611516 + 65651616611517.

It is an arithmetic number, because the mean of its divisors is an integer number (65651616611517).

Almost surely, 2131303233223033 is an apocalyptic number.

It is an amenable number.

131303233223033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303233223033 is an equidigital number, since it uses as much as digits as its factorization.

131303233223033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 32.

Adding to 131303233223033 its reverse (330322332303131), we get a palindrome (461625565526164).

The spelling of 131303233223033 in words is "one hundred thirty-one trillion, three hundred three billion, two hundred thirty-three million, two hundred twenty-three thousand, thirty-three".