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13312213301120 = 275314315604151
BaseRepresentation
bin1100000110110111110110…
…1111101011011110000000
31202010122011000220112111112
43001231331233223132000
53221101403101113440
644151314003102452
72542530025023656
oct301557557533600
952118130815445
1013312213301120
1142727503a5988
1215abbb5371a28
1375744abb2106
1434045922add6
1518143419b965
hexc1b7dbeb780

13312213301120 has 128 divisors (see below), whose sum is σ = 33615088404480. Its totient is φ = 5033274624000.

The previous prime is 13312213301117. The next prime is 13312213301147. The reversal of 13312213301120 is 2110331221331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6948956 + ... + 8655195.

It is an arithmetic number, because the mean of its divisors is an integer number (262617878160).

Almost surely, 213312213301120 is an apocalyptic number.

13312213301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312213301120 is an abundant number, since it is smaller than the sum of its proper divisors (20302875103360).

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

13312213301120 is a wasteful number, since it uses less digits than its factorization.

13312213301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604244 (or 15604232 counting only the distinct ones).

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

Adding to 13312213301120 its reverse (2110331221331), we get a palindrome (15422544522451).

The spelling of 13312213301120 in words is "thirteen trillion, three hundred twelve billion, two hundred thirteen million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 64 80 86 124 128 155 160 172 215 248 310 320 344 430 496 620 640 688 860 992 1240 1333 1376 1720 1984 2480 2666 2752 3440 3968 4960 5332 5504 6665 6880 9920 10664 13330 13760 19840 21328 26660 27520 42656 53320 85312 106640 170624 213280 426560 853120 15604151 31208302 62416604 78020755 124833208 156041510 249666416 312083020 483728681 499332832 624166040 670978493 967457362 998665664 1248332080 1341956986 1934914724 1997331328 2418643405 2496664160 2683913972 3354892465 3869829448 4837286810 4993328320 5367827944 6709784930 7739658896 9674573620 9986656640 10735655888 13419569860 15479317792 19349147240 20800333283 21471311776 26839139720 30958635584 38698294480 41600666566 42942623552 53678279440 61917271168 77396588960 83201333132 85885247104 104001666415 107356558880 154793177920 166402666264 208003332830 214713117760 309586355840 332805332528 416006665660 429426235520 665610665056 832013331320 1331221330112 1664026662640 2662442660224 3328053325280 6656106650560 13312213301120