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121313331101 is a prime number
BaseRepresentation
bin111000011111011010…
…1101000011110011101
3102121010112102202002002
41300332311220132131
53441422203043401
6131421445412045
711523154205024
oct1607665503635
9377115382062
10121313331101
11474a3238226
121b61770a025
13b59430c171
145c2b9378bb
15325042aa6b
hex1c3ed6879d

121313331101 has 2 divisors, whose sum is σ = 121313331102. Its totient is φ = 121313331100.

The previous prime is 121313331047. The next prime is 121313331121. The reversal of 121313331101 is 101133313121.

It is an a-pointer prime, because the next prime (121313331121) can be obtained adding 121313331101 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87690607876 + 33622723225 = 296126^2 + 183365^2 .

It is a cyclic number.

It is not a de Polignac number, because 121313331101 - 222 = 121309136797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121313331121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60656665550 + 60656665551.

It is an arithmetic number, because the mean of its divisors is an integer number (60656665551).

Almost surely, 2121313331101 is an apocalyptic number.

It is an amenable number.

121313331101 is a deficient number, since it is larger than the sum of its proper divisors (1).

121313331101 is an equidigital number, since it uses as much as digits as its factorization.

121313331101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 121313331101 its reverse (101133313121), we get a palindrome (222446644222).

The spelling of 121313331101 in words is "one hundred twenty-one billion, three hundred thirteen million, three hundred thirty-one thousand, one hundred one".