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12320113321131 = 3711431137390127
BaseRepresentation
bin1011001101000111111111…
…1110100110010010101011
31121121210100212202201011020
42303101333332212102223
53103323043002234011
642111440521303523
72411045615235150
oct263217776462253
947553325681136
1012320113321131
113a1aa2686aa50
12146b879034ba3
136b4a21522035
143084220a4227
1516571b282006
hexb347ffa64ab

12320113321131 has 64 divisors (see below), whose sum is σ = 20542885134336. Its totient is φ = 6380488195200.

The previous prime is 12320113321127. The next prime is 12320113321133. The reversal of 12320113321131 is 13112331102321.

It is not a de Polignac number, because 12320113321131 - 22 = 12320113321127 is a prime.

It is a super-2 number, since 2×123201133211312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12320113321133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136652190 + ... + 136742316.

It is an arithmetic number, because the mean of its divisors is an integer number (320982580224).

Almost surely, 212320113321131 is an apocalyptic number.

12320113321131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12320113321131 is a deficient number, since it is larger than the sum of its proper divisors (8222771813205).

12320113321131 is a wasteful number, since it uses less digits than its factorization.

12320113321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91952.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12320113321131 its reverse (13112331102321), we get a palindrome (25432444423452).

The spelling of 12320113321131 in words is "twelve trillion, three hundred twenty billion, one hundred thirteen million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 431 1293 1373 3017 4119 4741 9051 9611 14223 15103 28833 33187 45309 90127 99561 105721 270381 317163 591763 630889 991397 1775289 1892667 2974191 4142341 6509393 6939779 12427023 19528179 20819337 38844737 45565751 116534211 123744371 136697253 271913159 371233113 427292107 815739477 866210597 1281876321 1361188081 2598631791 2991044749 4083564243 8973134247 9528316567 28584949701 53333823901 160001471703 373336767307 586672062911 1120010301921 1760016188733 4106704440377 12320113321131