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121310023313 is a prime number
BaseRepresentation
bin111000011111010100…
…1000000111010010001
3102121010022012200122102
41300332221000322101
53441420331221223
6131421250450145
711523114120233
oct1607651007221
9377108180572
10121310023313
11474a1389016
121b616593955
13b5937216ab
145c2b316253
15324eec5928
hex1c3ea40e91

121310023313 has 2 divisors, whose sum is σ = 121310023314. Its totient is φ = 121310023312.

The previous prime is 121310023283. The next prime is 121310023333. The reversal of 121310023313 is 313320013121.

It is an a-pointer prime, because the next prime (121310023333) can be obtained adding 121310023313 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., 69657461329 + 51652561984 = 263927^2 + 227272^2 .

It is a cyclic number.

It is not a de Polignac number, because 121310023313 - 28 = 121310023057 is a prime.

It is a super-2 number, since 2×1213100233132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121310023333) 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, 60655011656 + 60655011657.

It is an arithmetic number, because the mean of its divisors is an integer number (60655011657).

Almost surely, 2121310023313 is an apocalyptic number.

It is an amenable number.

121310023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

121310023313 is an equidigital number, since it uses as much as digits as its factorization.

121310023313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 121310023313 its reverse (313320013121), we get a palindrome (434630036434).

The spelling of 121310023313 in words is "one hundred twenty-one billion, three hundred ten million, twenty-three thousand, three hundred thirteen".