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330031310113121 is a prime number
BaseRepresentation
bin100101100001010010110011…
…1000000010000100101100001
31121021112200111110010220001112
41023002211213000100211201
5321224213110342104441
63125530142451513105
7126341655345556031
oct11302454700204541
91537480443126045
10330031310113121
1196181546729a21
1231022341bb8795
131121ca85475306
145b6d85a2218c1
152824d1229d4eb
hex12c2967010961

330031310113121 has 2 divisors, whose sum is σ = 330031310113122. Its totient is φ = 330031310113120.

The previous prime is 330031310113117. The next prime is 330031310113147. The reversal of 330031310113121 is 121311013130033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308757998823121 + 21273311290000 = 17571511^2 + 4612300^2 .

It is a cyclic number.

It is not a de Polignac number, because 330031310113121 - 22 = 330031310113117 is a prime.

It is not a weakly prime, because it can be changed into another prime (330031310115121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165015655056560 + 165015655056561.

It is an arithmetic number, because the mean of its divisors is an integer number (165015655056561).

Almost surely, 2330031310113121 is an apocalyptic number.

It is an amenable number.

330031310113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

330031310113121 is an equidigital number, since it uses as much as digits as its factorization.

330031310113121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 330031310113121 its reverse (121311013130033), we get a palindrome (451342323243154).

The spelling of 330031310113121 in words is "three hundred thirty trillion, thirty-one billion, three hundred ten million, one hundred thirteen thousand, one hundred twenty-one".