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13131013113200 = 2452532251275161
BaseRepresentation
bin1011111100010100110101…
…0111110100010101110000
31201111022102212210020221102
42333011031113310111300
53210114303324110300
643532145410143532
72523453513603503
oct277051527642560
951438385706842
1013131013113200
114202916639864
121580a65881ba8
1374333170b9c8
14335789c9313a
1517b87b41c0d5
hexbf14d5f4570

13131013113200 has 120 divisors (see below), whose sum is σ = 32156886376656. Its totient is φ = 5150995200000.

The previous prime is 13131013113149. The next prime is 13131013113223. The reversal of 13131013113200 is 231131013131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47583620 + ... + 47858780.

Almost surely, 213131013113200 is an apocalyptic number.

13131013113200 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 13131013113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078443188328).

13131013113200 is an abundant number, since it is smaller than the sum of its proper divisors (19025873263456).

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

13131013113200 is a wasteful number, since it uses less digits than its factorization.

13131013113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277483 (or 277472 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13131013113200 its reverse (231131013131), we get a palindrome (13362144126331).

The spelling of 13131013113200 in words is "thirteen trillion, one hundred thirty-one billion, thirteen million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2251 2650 4240 4502 5300 9004 10600 11255 18008 21200 22510 36016 45020 56275 90040 112550 119303 180080 225100 238606 275161 450200 477212 550322 596515 900400 954424 1100644 1193030 1375805 1908848 2201288 2386060 2751610 2982575 4402576 4772120 5503220 5965150 6879025 9544240 11006440 11930300 13758050 14583533 22012880 23860600 27516100 29167066 47721200 55032200 58334132 72917665 110064400 116668264 145835330 233336528 291670660 364588325 583341320 619387411 729176650 1166682640 1238774822 1458353300 2477549644 2916706600 3096937055 4955099288 5833413200 6193874110 9910198576 12387748220 15484685275 24775496440 30969370550 32827532783 49550992880 61938741100 65655065566 123877482200 131310131132 164137663915 247754964400 262620262264 328275327830 525240524528 656550655660 820688319575 1313101311320 1641376639150 2626202622640 3282753278300 6565506556600 13131013113200