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1331013017 is a prime number
BaseRepresentation
bin100111101010101…
…1010010110011001
310102202112110121102
41033111122112121
510211214404032
6340024121145
744661265265
oct11725322631
93382473542
101331013017
1162335a864
123119061b5
131829a6089
14c8ab50a5
157bcb9362
hex4f55a599

1331013017 has 2 divisors, whose sum is σ = 1331013018. Its totient is φ = 1331013016.

The previous prime is 1331013007. The next prime is 1331013077. The reversal of 1331013017 is 7103101331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1297152256 + 33860761 = 36016^2 + 5819^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331013017 - 24 = 1331013001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331013017.

It is not a weakly prime, because it can be changed into another prime (1331013007) 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, 665506508 + 665506509.

It is an arithmetic number, because the mean of its divisors is an integer number (665506509).

Almost surely, 21331013017 is an apocalyptic number.

It is an amenable number.

1331013017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331013017 is an equidigital number, since it uses as much as digits as its factorization.

1331013017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 1331013017 is about 36483.0510922538. The cubic root of 1331013017 is about 1100.0035859387.

Adding to 1331013017 its reverse (7103101331), we get a palindrome (8434114348).

The spelling of 1331013017 in words is "one billion, three hundred thirty-one million, thirteen thousand, seventeen".