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13332101424017 is a prime number
BaseRepresentation
bin1100001000000001111100…
…1010110110001110010001
31202012112111001220212012212
43002000133022312032101
53221413120431032032
644204403254401505
72544132621210365
oct302003712661621
952175431825185
1013332101424017
114280126760a92
1215b3a25960295
1375929a34817c
143413c470d2a5
15181bea1b8bb2
hexc201f2b6391

13332101424017 has 2 divisors, whose sum is σ = 13332101424018. Its totient is φ = 13332101424016.

The previous prime is 13332101423947. The next prime is 13332101424023. The reversal of 13332101424017 is 71042410123331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10938570637201 + 2393530786816 = 3307351^2 + 1547104^2 .

It is an emirp because it is prime and its reverse (71042410123331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13332101424017 is a prime.

It is a super-2 number, since 2×133321014240172 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13332101424067) 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, 6666050712008 + 6666050712009.

It is an arithmetic number, because the mean of its divisors is an integer number (6666050712009).

Almost surely, 213332101424017 is an apocalyptic number.

It is an amenable number.

13332101424017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13332101424017 is an equidigital number, since it uses as much as digits as its factorization.

13332101424017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 13332101424017 its reverse (71042410123331), we get a palindrome (84374511547348).

The spelling of 13332101424017 in words is "thirteen trillion, three hundred thirty-two billion, one hundred one million, four hundred twenty-four thousand, seventeen".