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331012013 is a prime number
BaseRepresentation
bin10011101110101…
…101011110101101
3212001212011010012
4103232231132231
51134214341023
652502423005
711126361413
oct2356553655
9761764105
10331012013
1115a936252
1292a31a65
13537685c7
1431d672b3
151e0d7978
hex13bad7ad

331012013 has 2 divisors, whose sum is σ = 331012014. Its totient is φ = 331012012.

The previous prime is 331012009. The next prime is 331012037. The reversal of 331012013 is 310210133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246427204 + 84584809 = 15698^2 + 9197^2 .

It is an emirp because it is prime and its reverse (310210133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331012013 - 22 = 331012009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331012043) 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, 165506006 + 165506007.

It is an arithmetic number, because the mean of its divisors is an integer number (165506007).

Almost surely, 2331012013 is an apocalyptic number.

It is an amenable number.

331012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331012013 is an equidigital number, since it uses as much as digits as its factorization.

331012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 331012013 is about 18193.7355427631. The cubic root of 331012013 is about 691.7480100071.

Adding to 331012013 its reverse (310210133), we get a palindrome (641222146).

It can be divided in two parts, 3310120 and 13, that added together give a palindrome (3310133).

The spelling of 331012013 in words is "three hundred thirty-one million, twelve thousand, thirteen".