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1322131110121 is a prime number
BaseRepresentation
bin10011001111010101001…
…001111011100011101001
311200101122120221022222101
4103033111021323203221
5133130211031010441
62451213442053401
7164343433003333
oct23172511734351
94611576838871
101322131110121
1146a7925a8848
121942a304a261
13978a4163283
1447dc48d8453
15245d1d01231
hex133d527b8e9

1322131110121 has 2 divisors, whose sum is σ = 1322131110122. Its totient is φ = 1322131110120.

The previous prime is 1322131110077. The next prime is 1322131110253. The reversal of 1322131110121 is 1210111312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 768364446096 + 553766664025 = 876564^2 + 744155^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322131110121 - 217 = 1322130979049 is a prime.

It is a super-3 number, since 3×13221311101213 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1322131116121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661065555060 + 661065555061.

It is an arithmetic number, because the mean of its divisors is an integer number (661065555061).

Almost surely, 21322131110121 is an apocalyptic number.

It is an amenable number.

1322131110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322131110121 is an equidigital number, since it uses as much as digits as its factorization.

1322131110121 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 19.

Adding to 1322131110121 its reverse (1210111312231), we get a palindrome (2532242422352).

The spelling of 1322131110121 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, one hundred ten thousand, one hundred twenty-one".