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330121310322031 is a prime number
BaseRepresentation
bin100101100001111100101101…
…1011011110011110101101111
31121021212021210201102012202021
41023003321123123303311233
5321232201420420301111
63130035345240411011
7126351322546662454
oct11303713333636557
91537767721365667
10330121310322031
1196206730482a68
123103787aa76a67
13112283c933b6b7
145b73d5717582b
15282732d66bd71
hex12c3e5b6f3d6f

330121310322031 has 2 divisors, whose sum is σ = 330121310322032. Its totient is φ = 330121310322030.

The previous prime is 330121310322029. The next prime is 330121310322053. The reversal of 330121310322031 is 130223013121033.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 330121310322031 - 21 = 330121310322029 is a prime.

It is a super-2 number, since 2×3301213103220312 (a number of 30 digits) contains 22 as substring.

Together with 330121310322029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 330121310321987 and 330121310322005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330121310322091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165060655161015 + 165060655161016.

It is an arithmetic number, because the mean of its divisors is an integer number (165060655161016).

Almost surely, 2330121310322031 is an apocalyptic number.

330121310322031 is a deficient number, since it is larger than the sum of its proper divisors (1).

330121310322031 is an equidigital number, since it uses as much as digits as its factorization.

330121310322031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 330121310322031 its reverse (130223013121033), we get a palindrome (460344323443064).

The spelling of 330121310322031 in words is "three hundred thirty trillion, one hundred twenty-one billion, three hundred ten million, three hundred twenty-two thousand, thirty-one".