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13022022113329 is a prime number
BaseRepresentation
bin1011110101111110110100…
…0000001001100000110001
31201002220010002222210112111
42331133231000021200301
53201323100130111304
643410122342525321
72512544563440415
oct275375500114061
951086102883474
1013022022113329
114170676aaa459
121563908a36841
13735c822806c8
143303aaac0d45
15178aecbd2704
hexbd7ed009831

13022022113329 has 2 divisors, whose sum is σ = 13022022113330. Its totient is φ = 13022022113328.

The previous prime is 13022022113299. The next prime is 13022022113351. The reversal of 13022022113329 is 92331122022031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13018710341025 + 3311772304 = 3608145^2 + 57548^2 .

It is an emirp because it is prime and its reverse (92331122022031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13022022113329 - 29 = 13022022112817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13022022113329.

It is not a weakly prime, because it can be changed into another prime (13022022114329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511011056664 + 6511011056665.

It is an arithmetic number, because the mean of its divisors is an integer number (6511011056665).

Almost surely, 213022022113329 is an apocalyptic number.

It is an amenable number.

13022022113329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022022113329 is an equidigital number, since it uses as much as digits as its factorization.

13022022113329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 13022022113329 in words is "thirteen trillion, twenty-two billion, twenty-two million, one hundred thirteen thousand, three hundred twenty-nine".