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131103001312113 = 32310370891832093
BaseRepresentation
bin11101110011110011001011…
…110100100111101101110001
3122012012022202120120111201110
4131303303023310213231301
5114140442421313441423
61142455515400023533
736420610406155215
oct3563631364475561
9565168676514643
10131103001312113
113885651a435456
1212854781a61ba9
13581cc630b3c8c
1424535c20d0945
15102545379c193
hex773ccbd27b71

131103001312113 has 16 divisors (see below), whose sum is σ = 182404451180160. Its totient is φ = 83601787636224.

The previous prime is 131103001312069. The next prime is 131103001312133. The reversal of 131103001312113 is 311213100301131.

It is not a de Polignac number, because 131103001312113 - 28 = 131103001311857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131103001312113.

It is not an unprimeable number, because it can be changed into a prime (131103001312133) 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 15 ways as a sum of consecutive naturals, for example, 70643095 + ... + 72475187.

It is an arithmetic number, because the mean of its divisors is an integer number (11400278198760).

Almost surely, 2131103001312113 is an apocalyptic number.

It is an amenable number.

131103001312113 is a deficient number, since it is larger than the sum of its proper divisors (51301449868047).

131103001312113 is a wasteful number, since it uses less digits than its factorization.

131103001312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869208.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 131103001312113 its reverse (311213100301131), we get a palindrome (442316101613244).

The spelling of 131103001312113 in words is "one hundred thirty-one trillion, one hundred three billion, one million, three hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 23 69 1037089 1832093 3111267 5496279 23853047 42138139 71559141 126414417 1900043497277 5700130491831 43701000437371 131103001312113