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13321011313220 = 225131272511607261
BaseRepresentation
bin1100000111011000101000…
…1001011011101001000100
31202011110212011220212012112
43001312022021123221010
53221222412344010340
644155331011040152
72543261035631012
oct301661211335104
952143764825175
1013321011313220
114276455676666
1215b184b8a0058
13758220860330
14340a518a38b2
1518179b77a065
hexc1d8a25ba44

13321011313220 has 96 divisors (see below), whose sum is σ = 30484179726336. Its totient is φ = 4860354240000.

The previous prime is 13321011313219. The next prime is 13321011313241. The reversal of 13321011313220 is 2231311012331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7484390 + ... + 9091650.

It is an arithmetic number, because the mean of its divisors is an integer number (317543538816).

Almost surely, 213321011313220 is an apocalyptic number.

13321011313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321011313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242089863168).

13321011313220 is an abundant number, since it is smaller than the sum of its proper divisors (17163168413116).

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

13321011313220 is a wasteful number, since it uses less digits than its factorization.

13321011313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607661 (or 1607659 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13321011313220 its reverse (2231311012331), we get a palindrome (15552322325551).

The spelling of 13321011313220 in words is "thirteen trillion, three hundred twenty-one billion, eleven million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 251 254 260 502 508 635 1004 1255 1270 1651 2510 2540 3263 3302 5020 6526 6604 8255 13052 16315 16510 31877 32630 33020 63754 65260 127508 159385 318770 414401 637540 828802 1607261 1657604 2072005 3214522 4144010 6429044 8036305 8288020 16072610 20894393 32145220 41788786 83577572 104471965 204122147 208943930 403422511 408244294 417887860 806845022 816488588 1020610735 1613690044 2017112555 2041221470 2653587911 4034225110 4082442940 5244492643 5307175822 8068450220 10488985286 10614351644 13267939555 20977970572 26222463215 26535879110 51234658897 52444926430 53071758220 102469317794 104889852860 204938635588 256173294485 512346588970 666050565661 1024693177940 1332101131322 2664202262644 3330252828305 6660505656610 13321011313220