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331313131021 is a prime number
BaseRepresentation
bin1001101001000111100…
…11010010111000001101
31011200011210002220020111
410310203303102320031
520412012130143041
6412111514120021
732636151101455
oct4644363227015
91150153086214
10331313131021
11118566697084
1254264120011
13253202786c2
141206db28d65
15894171d981
hex4d23cd2e0d

331313131021 has 2 divisors, whose sum is σ = 331313131022. Its totient is φ = 331313131020.

The previous prime is 331313131013. The next prime is 331313131027. The reversal of 331313131021 is 120131313133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318478506921 + 12834624100 = 564339^2 + 113290^2 .

It is a cyclic number.

It is not a de Polignac number, because 331313131021 - 23 = 331313131013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331313130983 and 331313131001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331313131027) 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, 165656565510 + 165656565511.

It is an arithmetic number, because the mean of its divisors is an integer number (165656565511).

Almost surely, 2331313131021 is an apocalyptic number.

It is an amenable number.

331313131021 is a deficient number, since it is larger than the sum of its proper divisors (1).

331313131021 is an equidigital number, since it uses as much as digits as its factorization.

331313131021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 331313131021 its reverse (120131313133), we get a palindrome (451444444154).

The spelling of 331313131021 in words is "three hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, twenty-one".