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13022333133101 is a prime number
BaseRepresentation
bin1011110101111111111110…
…0010100110000100101101
31201002220220210020020110022
42331133333202212010231
53201324214240224401
643410213253051525
72512555361164535
oct275377742460455
951086823206408
1013022333133101
114170816620196
121563995026ba5
13736001839286
143303da1224c5
15178b1a16b71b
hexbd7ff8a612d

13022333133101 has 2 divisors, whose sum is σ = 13022333133102. Its totient is φ = 13022333133100.

The previous prime is 13022333133079. The next prime is 13022333133107. The reversal of 13022333133101 is 10133133322031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9959042082025 + 3063291051076 = 3155795^2 + 1750226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13022333133101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13022333133107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511166566550 + 6511166566551.

It is an arithmetic number, because the mean of its divisors is an integer number (6511166566551).

Almost surely, 213022333133101 is an apocalyptic number.

It is an amenable number.

13022333133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022333133101 is an equidigital number, since it uses as much as digits as its factorization.

13022333133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13022333133101 its reverse (10133133322031), we get a palindrome (23155466455132).

The spelling of 13022333133101 in words is "thirteen trillion, twenty-two billion, three hundred thirty-three million, one hundred thirty-three thousand, one hundred one".