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131011013212320 = 25351716055271227
BaseRepresentation
bin11101110010011101100000…
…111001110111100010100000
3122011212112022202201212101110
4131302131200321313202200
5114132441023340243240
61142345343435503320
736411143016212313
oct3562354071674240
9564775282655343
10131011013212320
113882050556558a
121283a98b2b7b40
1358143934230b7
14244cd7715497a
151022d6cb0dc80
hex772760e778a0

131011013212320 has 96 divisors (see below), whose sum is σ = 436960261741248. Its totient is φ = 32881195470848.

The previous prime is 131011013212319. The next prime is 131011013212327. The reversal of 131011013212320 is 23212310110131.

131011013212320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (131011013212327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8027627454 + ... + 8027643773.

It is an arithmetic number, because the mean of its divisors is an integer number (4551669393138).

Almost surely, 2131011013212320 is an apocalyptic number.

131011013212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011013212320 is an abundant number, since it is smaller than the sum of its proper divisors (305949248528928).

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

131011013212320 is a wasteful number, since it uses less digits than its factorization.

131011013212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16055271262 (or 16055271254 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131011013212320 its reverse (23212310110131), we get a palindrome (154223323322451).

The spelling of 131011013212320 in words is "one hundred thirty-one trillion, eleven billion, thirteen million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 16055271227 32110542454 48165813681 64221084908 80276356135 96331627362 128442169816 160552712270 192663254724 240829068405 256884339632 272939610859 321105424540 385326509448 481658136810 513768679264 545879221718 642210849080 770653018896 818818832577 963316273620 1091758443436 1284421698160 1364698054295 1541306037792 1637637665154 1926632547240 2183516886872 2568843396320 2729396108590 3275275330308 3853265094480 4094094162885 4367033773744 5458792217180 6550550660616 7706530188960 8188188325770 8734067547488 10917584434360 13101101321232 16376376651540 21835168868720 26202202642464 32752753303080 43670337737440 65505506606160 131011013212320