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131330344414013 = 673136479679249
BaseRepresentation
bin11101110111000110111010…
…100001101110101100111101
3122020000001120111201200120122
4131313012322201232230331
5114203204021132222023
61143152154411424325
736443206235512403
oct3567067241565475
9566001514650518
10131330344414013
1138933982712828
121289084a7550a5
1358385241c3194
1424605cb807473
15102b30c47b2c8
hex7771ba86eb3d

131330344414013 has 16 divisors (see below), whose sum is σ = 133923032208000. Its totient is φ = 128757538331136.

The previous prime is 131330344414007. The next prime is 131330344414057. The reversal of 131330344414013 is 310414443033131.

It is a cyclic number.

It is not a de Polignac number, because 131330344414013 - 210 = 131330344412989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330344404013) 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, 8728613 + ... + 18407861.

It is an arithmetic number, because the mean of its divisors is an integer number (8370189513000).

Almost surely, 2131330344414013 is an apocalyptic number.

It is an amenable number.

131330344414013 is a deficient number, since it is larger than the sum of its proper divisors (2592687793987).

131330344414013 is an equidigital number, since it uses as much as digits as its factorization.

131330344414013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680276.

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 131330344414013 its reverse (310414443033131), we get a palindrome (441744787447144).

The spelling of 131330344414013 in words is "one hundred thirty-one trillion, three hundred thirty billion, three hundred forty-four million, four hundred fourteen thousand, thirteen".

Divisors: 1 67 313 647 20971 43349 202511 9679249 13568237 648509683 3029604937 6262474103 202983530779 419585764901 1960154394239 131330344414013