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13221320121 = 331746362213
BaseRepresentation
bin11000101000000110…
…10101010110111001
31021010102020122121000
430110003111112321
5204034124220441
610023534435213
7645431236542
oct142403252671
937112218530
1013221320121
1156750aa549
12268b962b09
1313291b2259
148d5cdb4c9
15525abd2b6
hex3140d55b9

13221320121 has 32 divisors (see below), whose sum is σ = 20784453120. Its totient is φ = 8277679872.

The previous prime is 13221320117. The next prime is 13221320131. The reversal of 13221320121 is 12102312231.

13221320121 is a `hidden beast` number, since 1 + 3 + 221 + 320 + 121 = 666.

It is not a de Polignac number, because 13221320121 - 22 = 13221320117 is a prime.

It is a super-3 number, since 3×132213201213 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13221320094 and 13221320103.

It is not an unprimeable number, because it can be changed into a prime (13221320131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181411 + ... + 243623.

It is an arithmetic number, because the mean of its divisors is an integer number (649514160).

Almost surely, 213221320121 is an apocalyptic number.

It is an amenable number.

13221320121 is a deficient number, since it is larger than the sum of its proper divisors (7563132999).

13221320121 is a wasteful number, since it uses less digits than its factorization.

13221320121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62702 (or 62696 counting only the distinct ones).

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

Adding to 13221320121 its reverse (12102312231), we get a palindrome (25323632352).

The spelling of 13221320121 in words is "thirteen billion, two hundred twenty-one million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 17 27 51 153 459 463 1389 4167 7871 12501 23613 62213 70839 186639 212517 559917 1057621 1679751 3172863 9518589 28555767 28804619 86413857 259241571 489678523 777724713 1469035569 4407106707 13221320121