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13131120302032 = 24173174310332029
BaseRepresentation
bin1011111100010101001111…
…0000101101011111010000
31201111022201100111000101011
42333011103300231133100
53210120013244131112
643532204155420304
72523456254646415
oct277052360553720
951438640430334
1013131120302032
1142029710a0377
121580a95754694
1374334a99b655
1433579a1d610c
1517b885a41aa7
hexbf153c2d7d0

13131120302032 has 160 divisors (see below), whose sum is σ = 27885195233280. Its totient is φ = 5963246714880.

The previous prime is 13131120302021. The next prime is 13131120302159. The reversal of 13131120302032 is 23020302113131.

It is a junction number, because it is equal to n+sod(n) for n = 13131120301994 and 13131120302012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6471719194 + ... + 6471721222.

It is an arithmetic number, because the mean of its divisors is an integer number (174282470208).

Almost surely, 213131120302032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131120302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942597616640).

13131120302032 is an abundant number, since it is smaller than the sum of its proper divisors (14754074931248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131120302032 is a wasteful number, since it uses less digits than its factorization.

13131120302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13131120302032 its reverse (23020302113131), we get a palindrome (36151422415163).

The spelling of 13131120302032 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twenty million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 743 1033 1054 1486 2029 2066 2108 2972 4058 4132 4216 5944 8116 8264 8432 11888 12631 16232 16528 17561 23033 25262 32023 32464 34493 35122 46066 50524 62899 64046 68986 70244 92132 101048 125798 128092 137972 140488 184264 202096 251596 256184 275944 280976 368528 391561 503192 512368 544391 551888 767519 783122 1006384 1069283 1088782 1507547 1535038 1566244 2095957 2138566 2177564 3015094 3070076 3132488 4191914 4277132 4355128 6030188 6140152 6264976 8383828 8554264 8710256 12060376 12280304 13047823 16767656 17108528 23793089 24120752 25628299 26095646 33535312 35631269 46733957 47586178 51256598 52191292 64974667 71262538 93467914 95172356 102513196 104382584 129949334 142525076 186935828 190344712 205026392 208765168 259898668 285050152 373871656 380689424 404482513 410052784 519797336 570100304 747743312 794477269 808965026 1039594672 1104569339 1557296051 1588954538 1617930052 2209138678 3114592102 3177909076 3235860104 4418277356 6229184204 6355818152 6471720208 8836554712 12458368408 12711636304 17673109424 24916736816 26474032867 48276177581 52948065734 96552355162 105896131468 193104710324 211792262936 386209420648 423584525872 772418841296 820695018877 1641390037754 3282780075508 6565560151016 13131120302032