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131011130012243 = 13432811240967213
BaseRepresentation
bin11101110010011101100111…
…110111011011001001010011
3122011212112121220111220202112
4131302131213313123021103
5114132441243240342433
61142345403211135535
736411145635045005
oct3562354767331123
9564775556456675
10131011130012243
1138820565491048
121283aa024445ab
1358143b1699590
14244cd8887a375
151022d77ed1348
hex772767ddb253

131011130012243 has 32 divisors (see below), whose sum is σ = 144897650546880. Its totient is φ = 117689351915520.

The previous prime is 131011130012221. The next prime is 131011130012249. The reversal of 131011130012243 is 342210031110131.

It is a cyclic number.

It is not a de Polignac number, because 131011130012243 - 26 = 131011130012179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131011130012249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1949159705 + ... + 1949226917.

It is an arithmetic number, because the mean of its divisors is an integer number (4528051579590).

Almost surely, 2131011130012243 is an apocalyptic number.

131011130012243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131011130012243 is a deficient number, since it is larger than the sum of its proper divisors (13886520534637).

131011130012243 is a wasteful number, since it uses less digits than its factorization.

131011130012243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79959.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131011130012243 its reverse (342210031110131), we get a palindrome (473221161122374).

The spelling of 131011130012243 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirty million, twelve thousand, two hundred forty-three".

Divisors: 1 13 43 281 559 3653 12083 12409 67213 157079 161317 533587 873769 2890159 3486929 6936631 18886853 37572067 45330077 149937947 245529089 812134679 834046117 1949193311 10557750827 10842599521 35863983031 234366958877 466231779403 3046770465401 10077779231711 131011130012243