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131323302013113 = 3277964740782127
BaseRepresentation
bin11101110111000000010110…
…110001000110100010111001
3122012222101101201012122200200
4131313000112301012202321
5114203100110303404423
61143145031520352413
736442536563215350
oct3567002661064271
9565871351178620
10131323302013113
11389309994387a1
121288b404175709
135837971192962
1424601203b0997
15102b049088d43
hex777016c468b9

131323302013113 has 48 divisors (see below), whose sum is σ = 219871133614080. Its totient is φ = 73977471535968.

The previous prime is 131323302013103. The next prime is 131323302013153. The reversal of 131323302013113 is 311310203323131.

131323302013113 is a `hidden beast` number, since 1 + 3 + 1 + 323 + 3 + 0 + 20 + 1 + 311 + 3 = 666.

It is not a de Polignac number, because 131323302013113 - 24 = 131323302013097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131323302013103) 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 47 ways as a sum of consecutive naturals, for example, 17170945 + ... + 23611182.

It is an arithmetic number, because the mean of its divisors is an integer number (4580648616960).

Almost surely, 2131323302013113 is an apocalyptic number.

It is an amenable number.

131323302013113 is a deficient number, since it is larger than the sum of its proper divisors (88547831600967).

131323302013113 is a wasteful number, since it uses less digits than its factorization.

131323302013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40782866 (or 40782863 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131323302013113 its reverse (311310203323131), we get a palindrome (442633505336244).

The spelling of 131323302013113 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, three hundred two million, thirteen thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 63 79 237 553 647 711 1659 1941 4529 4977 5823 13587 40761 51113 153339 357791 460017 1073373 3220119 40782127 122346381 285474889 367039143 856424667 2569274001 3221788033 9665364099 22552516231 26386036169 28996092297 67657548693 79158108507 184702253183 202972646079 237474325521 554106759549 1662320278647 2084496857351 6253490572053 14591478001457 18760471716159 43774434004371 131323302013113