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13021300220121 = 34758921182869
BaseRepresentation
bin1011110101111100000111…
…1110010110000011011001
31201002211020210121211020000
42331133001332112003121
53201320110324020441
643405522554123213
72512520646443454
oct275370176260331
951084223554200
1013021300220121
1141703365673a6
121563747120509
13735b9884726b
1433033cc8849b
15178aa96382b6
hexbd7c1f960d9

13021300220121 has 20 divisors (see below), whose sum is σ = 19454135979300. Its totient is φ = 8679722528736.

The previous prime is 13021300220107. The next prime is 13021300220141. The reversal of 13021300220121 is 12102200312031.

13021300220121 is a `hidden beast` number, since 1 + 3 + 0 + 21 + 300 + 220 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128281450896 + 12893018769225 = 358164^2 + 3590685^2 .

It is not a de Polignac number, because 13021300220121 - 230 = 13020226478297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13021300220094 and 13021300220103.

It is not an unprimeable number, because it can be changed into a prime (13021300220141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9976726 + ... + 11206143.

It is an arithmetic number, because the mean of its divisors is an integer number (972706798965).

Almost surely, 213021300220121 is an apocalyptic number.

It is an amenable number.

13021300220121 is a deficient number, since it is larger than the sum of its proper divisors (6432835759179).

13021300220121 is an equidigital number, since it uses as much as digits as its factorization.

13021300220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21190470 (or 21190461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13021300220121 its reverse (12102200312031), we get a palindrome (25123500532152).

The spelling of 13021300220121 in words is "thirteen trillion, twenty-one billion, three hundred million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 7589 22767 68301 204903 614709 21182869 63548607 190645821 571937463 1715812389 160756792841 482270378523 1446811135569 4340433406707 13021300220121