Search a number
-
+
13332102121081 is a prime number
BaseRepresentation
bin1100001000000001111100…
…1101100000011001111001
31202012112111010020021102001
43002000133031200121321
53221413121120333311
644204403321341001
72544132630142552
oct302003715403171
952175433207361
1013332102121081
114280127097777
1215b3a26037761
1375929a530533
143413c4851329
15181bea2a54c1
hexc201f360679

13332102121081 has 2 divisors, whose sum is σ = 13332102121082. Its totient is φ = 13332102121080.

The previous prime is 13332102121033. The next prime is 13332102121159. The reversal of 13332102121081 is 18012120123331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10261515289600 + 3070586831481 = 3203360^2 + 1752309^2 .

It is a cyclic number.

It is not a de Polignac number, because 13332102121081 - 229 = 13331565250169 is a prime.

It is a super-2 number, since 2×133321021210812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13332102181081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6666051060540 + 6666051060541.

It is an arithmetic number, because the mean of its divisors is an integer number (6666051060541).

Almost surely, 213332102121081 is an apocalyptic number.

It is an amenable number.

13332102121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13332102121081 is an equidigital number, since it uses as much as digits as its factorization.

13332102121081 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 28.

The spelling of 13332102121081 in words is "thirteen trillion, three hundred thirty-two billion, one hundred two million, one hundred twenty-one thousand, eighty-one".