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13131201310000 = 24547317987947
BaseRepresentation
bin1011111100010101100010…
…0101101110110100110000
31201111022220222220122102021
42333011120211232310300
53210120200013410000
643532220212001224
72523461260341304
oct277053045566460
951438828818367
1013131201310000
114202a0289a904
121580ab8900214
137433616c2767
143357a6c81d04
1517b88cbe411a
hexbf15896ed30

13131201310000 has 100 divisors (see below), whose sum is σ = 32227459468072. Its totient is φ = 5180528448000.

The previous prime is 13131201309949. The next prime is 13131201310021. The reversal of 13131201310000 is 1310213131.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×131312013100002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8263974 + ... + 9723973.

Almost surely, 213131201310000 is an apocalyptic number.

13131201310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131201310000 is an abundant number, since it is smaller than the sum of its proper divisors (19096258158072).

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

13131201310000 is an equidigital number, since it uses as much as digits as its factorization.

13131201310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17988048 (or 17988027 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13131201310000 its reverse (1310213131), we get a palindrome (13132511523131).

The spelling of 13131201310000 in words is "thirteen trillion, one hundred thirty-one billion, two hundred one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 625 730 1000 1168 1250 1460 1825 2000 2500 2920 3650 5000 5840 7300 9125 10000 14600 18250 29200 36500 45625 73000 91250 146000 182500 365000 730000 17987947 35975894 71951788 89939735 143903576 179879470 287807152 359758940 449698675 719517880 899397350 1313120131 1439035760 1798794700 2248493375 2626240262 3597589400 4496986750 5252480524 6565600655 7195178800 8993973500 10504961048 11242466875 13131201310 17987947000 21009922096 22484933750 26262402620 32828003275 35975894000 44969867500 52524805240 65656006550 89939735000 105049610480 131312013100 164140016375 179879470000 262624026200 328280032750 525248052400 656560065500 820700081875 1313120131000 1641400163750 2626240262000 3282800327500 6565600655000 13131201310000