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131443144313 = 13192224312487
BaseRepresentation
bin111101001101010011…
…1110011011001111001
3110120021111110120110012
41322122213303121321
54123143421104223
6140214550431305
712332166202115
oct1723247633171
9416244416405
10131443144313
1150821256888
1221584062535
13c519b7b090
14650d00c745
1536448cbc78
hex1e9a9f3679

131443144313 has 24 divisors (see below), whose sum is σ = 149475066048. Its totient is φ = 114885783648.

The previous prime is 131443144297. The next prime is 131443144321. The reversal of 131443144313 is 313441344131.

It is not a de Polignac number, because 131443144313 - 24 = 131443144297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131443144313.

It is not an unprimeable number, because it can be changed into a prime (131443144333) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10520156 + ... + 10532642.

It is an arithmetic number, because the mean of its divisors is an integer number (6228127752).

Almost surely, 2131443144313 is an apocalyptic number.

131443144313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131443144313 is a deficient number, since it is larger than the sum of its proper divisors (18031921735).

131443144313 is a wasteful number, since it uses less digits than its factorization.

131443144313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14781 (or 14762 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 131443144313 its reverse (313441344131), we get a palindrome (444884488444).

The spelling of 131443144313 in words is "one hundred thirty-one billion, four hundred forty-three million, one hundred forty-four thousand, three hundred thirteen".

Divisors: 1 13 19 247 361 2243 4693 12487 29159 42617 162331 237253 554021 809723 3084289 4507807 10526399 28008341 58601491 364108433 532158479 6918060227 10111011101 131443144313