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13022322223133 is a prime number
BaseRepresentation
bin1011110101111111111011…
…1000111110100000011101
31201002220220000200221210102
42331133332320332200131
53201324203442120013
643410212223150445
72512555166355206
oct275377670764035
951086800627712
1013022322223133
114170810449393
121563991445425
13735ccc4b9482
143303d88c25ad
15178b19213d58
hexbd7fee3e81d

13022322223133 has 2 divisors, whose sum is σ = 13022322223134. Its totient is φ = 13022322223132.

The previous prime is 13022322223067. The next prime is 13022322223199. The reversal of 13022322223133 is 33132222322031.

It is a balanced prime because it is at equal distance from previous prime (13022322223067) and next prime (13022322223199).

It can be written as a sum of positive squares in only one way, i.e., 12577109002084 + 445213221049 = 3546422^2 + 667243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13022322223133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13022322223096 and 13022322223105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13022322223433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511161111566 + 6511161111567.

It is an arithmetic number, because the mean of its divisors is an integer number (6511161111567).

Almost surely, 213022322223133 is an apocalyptic number.

It is an amenable number.

13022322223133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022322223133 is an equidigital number, since it uses as much as digits as its factorization.

13022322223133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 13022322223133 its reverse (33132222322031), we get a palindrome (46154544545164).

The spelling of 13022322223133 in words is "thirteen trillion, twenty-two billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred thirty-three".