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331121020133 is a prime number
BaseRepresentation
bin1001101000110000101…
…10011100110011100101
31011122200101121122122102
410310120112130303211
520411113440121013
6412040452341445
732631326142431
oct4643026346345
91148611548572
10331121020133
11118478202352
125420b914885
13252bc524217
14120523db9c1
15892e921d58
hex4d1859cce5

331121020133 has 2 divisors, whose sum is σ = 331121020134. Its totient is φ = 331121020132.

The previous prime is 331121020073. The next prime is 331121020141. The reversal of 331121020133 is 331020121133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283159144129 + 47961876004 = 532127^2 + 219002^2 .

It is a cyclic number.

It is not a de Polignac number, because 331121020133 - 220 = 331119971557 is a prime.

It is a super-2 number, since 2×3311210201332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331121020333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560510066 + 165560510067.

It is an arithmetic number, because the mean of its divisors is an integer number (165560510067).

Almost surely, 2331121020133 is an apocalyptic number.

It is an amenable number.

331121020133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121020133 is an equidigital number, since it uses as much as digits as its factorization.

331121020133 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 331121020133 its reverse (331020121133), we get a palindrome (662141141266).

The spelling of 331121020133 in words is "three hundred thirty-one billion, one hundred twenty-one million, twenty thousand, one hundred thirty-three".