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1066102013 is a prime number
BaseRepresentation
bin111111100010110…
…110110011111101
32202022001121000202
4333202312303331
54140410231023
6253442133245
735263501064
oct7742666375
92668047022
101066102013
114a7872249
12259051225
1313cb426c2
14a18371db
15638dc128
hex3f8b6cfd

1066102013 has 2 divisors, whose sum is σ = 1066102014. Its totient is φ = 1066102012.

The previous prime is 1066101937. The next prime is 1066102021. The reversal of 1066102013 is 3102016601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 741309529 + 324792484 = 27227^2 + 18022^2 .

It is a cyclic number.

It is not a de Polignac number, because 1066102013 - 212 = 1066097917 is a prime.

It is a super-2 number, since 2×10661020132 = 2273147004245304338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1066102033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533051006 + 533051007.

It is an arithmetic number, because the mean of its divisors is an integer number (533051007).

Almost surely, 21066102013 is an apocalyptic number.

It is an amenable number.

1066102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1066102013 is an equidigital number, since it uses as much as digits as its factorization.

1066102013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1066102013 is about 32651.2176342629. The cubic root of 1066102013 is about 1021.5655866060.

Adding to 1066102013 its reverse (3102016601), we get a palindrome (4168118614).

The spelling of 1066102013 in words is "one billion, sixty-six million, one hundred two thousand, thirteen".