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331013231317 is a prime number
BaseRepresentation
bin1001101000100011110…
…11010001001011010101
31011122101212210102012001
410310101323101023111
520410403341400232
6412022042155301
732625550020346
oct4642173211325
91148355712161
10331013231317
11118422380a8a
125419b7b2b31
13252a30b4462
1412041d800cd
15892522e6e7
hex4d11ed12d5

331013231317 has 2 divisors, whose sum is σ = 331013231318. Its totient is φ = 331013231316.

The previous prime is 331013231279. The next prime is 331013231321. The reversal of 331013231317 is 713132310133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 281673271441 + 49339959876 = 530729^2 + 222126^2 .

It is an emirp because it is prime and its reverse (713132310133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331013231317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331013231347) 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, 165506615658 + 165506615659.

It is an arithmetic number, because the mean of its divisors is an integer number (165506615659).

Almost surely, 2331013231317 is an apocalyptic number.

It is an amenable number.

331013231317 is a deficient number, since it is larger than the sum of its proper divisors (1).

331013231317 is an equidigital number, since it uses as much as digits as its factorization.

331013231317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

It can be divided in two parts, 331013 and 231317, that added together give a triangular number (562330 = T1060).

The spelling of 331013231317 in words is "three hundred thirty-one billion, thirteen million, two hundred thirty-one thousand, three hundred seventeen".