Search a number
-
+
13331204220121 is a prime number
BaseRepresentation
bin1100000111111110100110…
…1100010010010011011001
31202012110011112200011211221
43001333221230102103121
53221404301240020441
644204134244252041
72544101445125524
oct301775154222331
952173145604757
1013331204220121
11427a806269467
1215b38153a1021
137591864c03a8
1434133b4bdbbb
15181b965408d1
hexc1fe9b124d9

13331204220121 has 2 divisors, whose sum is σ = 13331204220122. Its totient is φ = 13331204220120.

The previous prime is 13331204220109. The next prime is 13331204220133. The reversal of 13331204220121 is 12102240213331.

It is a balanced prime because it is at equal distance from previous prime (13331204220109) and next prime (13331204220133).

It can be written as a sum of positive squares in only one way, i.e., 10373784538896 + 2957419681225 = 3220836^2 + 1719715^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331204220121 - 243 = 4535111197913 is a prime.

It is not a weakly prime, because it can be changed into another prime (13331204220821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665602110060 + 6665602110061.

It is an arithmetic number, because the mean of its divisors is an integer number (6665602110061).

Almost surely, 213331204220121 is an apocalyptic number.

It is an amenable number.

13331204220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331204220121 is an equidigital number, since it uses as much as digits as its factorization.

13331204220121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13331204220121 its reverse (12102240213331), we get a palindrome (25433444433452).

The spelling of 13331204220121 in words is "thirteen trillion, three hundred thirty-one billion, two hundred four million, two hundred twenty thousand, one hundred twenty-one".