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121313231113131 = 325314991135114947
BaseRepresentation
bin11011100101010101110000…
…000011000000101110101011
3120220112102122122210200020200
4123211111300003000232223
5111400043444131110011
61110002310133123243
734360406646363441
oct3345256003005653
9526472578720220
10121313231113131
113572171a374542
1211733397789523
13528ca33754925
1421d583d944b91
15e0597ee30856
hex6e55700c0bab

121313231113131 has 48 divisors (see below), whose sum is σ = 178683249888000. Its totient is φ = 79284309249600.

The previous prime is 121313231113111. The next prime is 121313231113153. The reversal of 121313231113131 is 131311132313121.

121313231113131 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 32 + 311 + 1 + 313 + 1 = 666.

It is not a de Polignac number, because 121313231113131 - 217 = 121313230982059 is a prime.

It is a super-2 number, since 2×1213132311131312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121313231113095 and 121313231113104.

It is not an unprimeable number, because it can be changed into a prime (121313231113111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8116218600 + ... + 8116233546.

It is an arithmetic number, because the mean of its divisors is an integer number (3722567706000).

Almost surely, 2121313231113131 is an apocalyptic number.

121313231113131 is a deficient number, since it is larger than the sum of its proper divisors (57370018774869).

121313231113131 is a wasteful number, since it uses less digits than its factorization.

121313231113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27856 (or 27853 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 121313231113131 its reverse (131311132313121), we get a palindrome (252624363426252).

The spelling of 121313231113131 in words is "one hundred twenty-one trillion, three hundred thirteen billion, two hundred thirty-one million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 53 159 477 1499 4497 11351 13491 14947 34053 44841 79447 102159 134523 238341 601603 715023 792191 1804809 2376573 5414427 7129719 17015149 22405553 51045447 67216659 153136341 169663397 201649977 508990191 901802897 1187494309 1526970573 2705408691 3562482927 8116226073 8992160041 10687448781 26976480123 80929440369 254325432103 762976296309 2288928888927 13479247901459 40437743704377 121313231113131