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13121201331 = 3272374318701
BaseRepresentation
bin11000011100001010…
…11010010010110011
31020212102212002102200
430032011122102303
5203333011420311
610010000514243
7643104241200
oct141605322263
936772762380
1013121201331
115623637847
12266231b983
131311529674
148c68b8ca7
1551bde3556
hex30e15a4b3

13121201331 has 72 divisors (see below), whose sum is σ = 23170880304. Its totient is φ = 7125148800.

The previous prime is 13121201311. The next prime is 13121201339. The reversal of 13121201331 is 13310212131.

13121201331 is a `hidden beast` number, since 1 + 312 + 1 + 20 + 1 + 331 = 666.

It is not a de Polignac number, because 13121201331 - 29 = 13121200819 is a prime.

It is a super-2 number, since 2×131212013312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13121201339) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 692281 + ... + 710981.

It is an arithmetic number, because the mean of its divisors is an integer number (321817782).

Almost surely, 213121201331 is an apocalyptic number.

13121201331 is a deficient number, since it is larger than the sum of its proper divisors (10049678973).

13121201331 is a wasteful number, since it uses less digits than its factorization.

13121201331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18801 (or 18791 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13121201331 its reverse (13310212131), we get a palindrome (26431413462).

The spelling of 13121201331 in words is "thirteen billion, one hundred twenty-one million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 37 43 49 63 111 129 147 259 301 333 387 441 777 903 1591 1813 2107 2331 2709 4773 5439 6321 11137 14319 16317 18701 18963 33411 56103 77959 100233 130907 168309 233877 392721 691937 701631 804143 916349 1178163 2075811 2412429 2749047 4843559 5629001 6227433 7237287 8247141 14530677 16887003 29753291 33904913 39403007 43592031 50661009 89259873 101714739 118209021 208273037 267779619 305144217 354627063 624819111 1457911259 1874457333 4373733777 13121201331