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13334413003013 is a prime number
BaseRepresentation
bin1100001000001010100011…
…1100110100100100000101
31202012202110011120020110202
43002002220330310210011
53221432334212044023
644205424511500245
72544244120255634
oct302025074644405
952182404506422
1013334413003013
114281102570553
1215b436bb27685
137595782157ab
1434156371351b
15181cd30c6128
hexc20a8f34905

13334413003013 has 2 divisors, whose sum is σ = 13334413003014. Its totient is φ = 13334413003012.

The previous prime is 13334413002961. The next prime is 13334413003099. The reversal of 13334413003013 is 31030031443331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9531686799649 + 3802726203364 = 3087343^2 + 1950058^2 .

It is a cyclic number.

It is not a de Polignac number, because 13334413003013 - 216 = 13334412937477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13334413603013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6667206501506 + 6667206501507.

It is an arithmetic number, because the mean of its divisors is an integer number (6667206501507).

Almost surely, 213334413003013 is an apocalyptic number.

It is an amenable number.

13334413003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13334413003013 is an equidigital number, since it uses as much as digits as its factorization.

13334413003013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 13334413003013 its reverse (31030031443331), we get a palindrome (44364444446344).

The spelling of 13334413003013 in words is "thirteen trillion, three hundred thirty-four billion, four hundred thirteen million, three thousand, thirteen".