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13312077329 is a prime number
BaseRepresentation
bin11000110010111011…
…00010111000010001
31021100202000121002002
430121131202320101
5204230342433304
610040540003345
7650612535035
oct143135427021
937322017062
1013312077329
115711358801
1226b6230555
131341c3aa45
14903da41c5
1552da4931e
hex319762e11

13312077329 has 2 divisors, whose sum is σ = 13312077330. Its totient is φ = 13312077328.

The previous prime is 13312077283. The next prime is 13312077343. The reversal of 13312077329 is 92377021331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7199183104 + 6112894225 = 84848^2 + 78185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13312077329 is a prime.

It is a super-2 number, since 2×133120773292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13312077292 and 13312077301.

It is not a weakly prime, because it can be changed into another prime (13312077029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656038664 + 6656038665.

It is an arithmetic number, because the mean of its divisors is an integer number (6656038665).

Almost surely, 213312077329 is an apocalyptic number.

It is an amenable number.

13312077329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312077329 is an equidigital number, since it uses as much as digits as its factorization.

13312077329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47628, while the sum is 38.

The spelling of 13312077329 in words is "thirteen billion, three hundred twelve million, seventy-seven thousand, three hundred twenty-nine".