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13003313077 is a prime number
BaseRepresentation
bin11000001110000111…
…01100111110110101
31020120020000202011001
430013003230332311
5203112322004302
65550150043301
7640143223516
oct140703547665
936506022131
1013003313077
115573038637
12262a949531
1312c2c919c1
148b4d8ca0d
155118a8787
hex3070ecfb5

13003313077 has 2 divisors, whose sum is σ = 13003313078. Its totient is φ = 13003313076.

The previous prime is 13003313009. The next prime is 13003313123. The reversal of 13003313077 is 77031330031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10946599876 + 2056713201 = 104626^2 + 45351^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003313077 - 231 = 10855829429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13003313977) 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, 6501656538 + 6501656539.

It is an arithmetic number, because the mean of its divisors is an integer number (6501656539).

Almost surely, 213003313077 is an apocalyptic number.

It is an amenable number.

13003313077 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003313077 is an equidigital number, since it uses as much as digits as its factorization.

13003313077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 28.

The spelling of 13003313077 in words is "thirteen billion, three million, three hundred thirteen thousand, seventy-seven".