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13301221331333 = 1310211002126221
BaseRepresentation
bin1100000110001110111010…
…0100101001000110000101
31202002120202222120121122102
43001203232210221012011
53220411400130100313
644142255143041445
72541660443564555
oct301435644510605
952076688517572
1013301221331333
11426901a752331
1215a9a48140285
137563b8839890
1433dad544b165
15180ede196a58
hexc18ee929185

13301221331333 has 8 divisors (see below), whose sum is σ = 14338421984376. Its totient is φ = 12266024932800.

The previous prime is 13301221331291. The next prime is 13301221331351. The reversal of 13301221331333 is 33313312210331.

It can be written as a sum of positive squares in 4 ways, for example, as 589550623684 + 12711670707649 = 767822^2 + 3565343^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13301221331333 - 26 = 13301221331269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13301221331296 and 13301221331305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301221331033) 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 in 7 ways as a sum of consecutive naturals, for example, 501049838 + ... + 501076383.

It is an arithmetic number, because the mean of its divisors is an integer number (1792302748047).

Almost surely, 213301221331333 is an apocalyptic number.

13301221331333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13301221331333 is a deficient number, since it is larger than the sum of its proper divisors (1037200653043).

13301221331333 is a wasteful number, since it uses less digits than its factorization.

13301221331333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002127255.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 13301221331333 its reverse (33313312210331), we get a palindrome (46614533541664).

The spelling of 13301221331333 in words is "thirteen trillion, three hundred one billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 13 1021 13273 1002126221 13027640873 1023170871641 13301221331333