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13321020100120 = 23510127126334621
BaseRepresentation
bin1100000111011000101010…
…1010111100111000011000
31202011110212210110021120021
43001312022222330320120
53221222422121200440
644155331523240224
72543261203415545
oct301661252747030
952143783407507
1013321020100120
11427645a628367
1215b1852819074
13758222618995
14340a52b0dbcc
1518179c41384a
hexc1d8aabce18

13321020100120 has 128 divisors (see below), whose sum is σ = 30398859982080. Its totient is φ = 5253050880000.

The previous prime is 13321020100051. The next prime is 13321020100133. The reversal of 13321020100120 is 2100102012331.

It is a junction number, because it is equal to n+sod(n) for n = 13321020100094 and 13321020100103.

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, 2882711410 + ... + 2882716030.

It is an arithmetic number, because the mean of its divisors is an integer number (237491093610).

Almost surely, 213321020100120 is an apocalyptic number.

13321020100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321020100120 is an abundant number, since it is smaller than the sum of its proper divisors (17077839881960).

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

13321020100120 is a wasteful number, since it uses less digits than its factorization.

13321020100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13321020100120 its reverse (2100102012331), we get a palindrome (15421122112451).

The spelling of 13321020100120 in words is "thirteen trillion, three hundred twenty-one billion, twenty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 271 404 505 542 808 1010 1084 1355 2020 2168 2633 2710 4040 4621 5266 5420 9242 10532 10840 13165 18484 21064 23105 26330 27371 36968 46210 52660 54742 92420 105320 109484 136855 184840 218968 265933 273710 466721 531866 547420 713543 933442 1063732 1094840 1252291 1329665 1427086 1866884 2127464 2333605 2504582 2659330 2854172 3567715 3733768 4667210 5009164 5318660 5708344 6261455 7135430 9334420 10018328 10637320 12167093 12522910 14270860 18668840 24334186 25045820 28541720 48668372 50091640 60835465 72067843 97336744 121670930 126481391 144135686 243341860 252962782 288271372 360339215 486683720 505925564 576542744 632406955 720678430 1011851128 1228876393 1264813910 1441356860 2457752786 2529627820 2882713720 3297282203 4915505572 5059255640 6144381965 6594564406 9831011144 12288763930 13189128812 16486411015 24577527860 26378257624 32972822030 49155055720 65945644060 131891288120 333025502503 666051005006 1332102010012 1665127512515 2664204020024 3330255025030 6660510050060 13321020100120