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331201434013 is a prime number
BaseRepresentation
bin1001101000111010010…
…01001101000110011101
31011122212222221002202021
410310131021031012131
520411300031342023
6412052444100141
732633323511302
oct4643511150635
91148788832667
10331201434013
111185096364aa
1254232834651
132530309aab8
141205cd710a9
158936a0835d
hex4d1d24d19d

331201434013 has 2 divisors, whose sum is σ = 331201434014. Its totient is φ = 331201434012.

The previous prime is 331201434007. The next prime is 331201434041. The reversal of 331201434013 is 310434102133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183777688249 + 147423745764 = 428693^2 + 383958^2 .

It is a cyclic number.

It is not a de Polignac number, because 331201434013 - 29 = 331201433501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331201434413) 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, 165600717006 + 165600717007.

It is an arithmetic number, because the mean of its divisors is an integer number (165600717007).

Almost surely, 2331201434013 is an apocalyptic number.

It is an amenable number.

331201434013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331201434013 is an equidigital number, since it uses as much as digits as its factorization.

331201434013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 331201434013 its reverse (310434102133), we get a palindrome (641635536146).

The spelling of 331201434013 in words is "three hundred thirty-one billion, two hundred one million, four hundred thirty-four thousand, thirteen".