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331342404124013 is a prime number
BaseRepresentation
bin100101101010110101010101…
…0010010111111110101101101
31121110012000122211211111012222
41023111222222102333311231
5321412203220423432023
63132412333222405125
7126535461442022462
oct11325525222776555
91543160584744188
10331342404124013
119663758505a757
12311b44648907a5
13112b65baac1829
145bb70b4d4d669
152848e9a132cc8
hex12d5aaa4bfd6d

331342404124013 has 2 divisors, whose sum is σ = 331342404124014. Its totient is φ = 331342404124012.

The previous prime is 331342404124007. The next prime is 331342404124051. The reversal of 331342404124013 is 310421404243133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176056462465129 + 155285941658884 = 13268627^2 + 12461378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331342404124013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331342404124913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165671202062006 + 165671202062007.

It is an arithmetic number, because the mean of its divisors is an integer number (165671202062007).

Almost surely, 2331342404124013 is an apocalyptic number.

It is an amenable number.

331342404124013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331342404124013 is an equidigital number, since it uses as much as digits as its factorization.

331342404124013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 331342404124013 its reverse (310421404243133), we get a palindrome (641763808367146).

The spelling of 331342404124013 in words is "three hundred thirty-one trillion, three hundred forty-two billion, four hundred four million, one hundred twenty-four thousand, thirteen".