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131340401313 = 311236110128087
BaseRepresentation
bin111101001010001111…
…1110111101010100001
3110120000100010200112220
41322110133313222201
54122441120320223
6140200440341253
712326510663622
oct1722437675241
9416010120486
10131340401313
1150779261510
1221555774829
13c5017b6bc4
1464dd505a49
15363a8846e3
hex1e947f7aa1

131340401313 has 64 divisors (see below), whose sum is σ = 204628045824. Its totient is φ = 74147040000.

The previous prime is 131340401263. The next prime is 131340401317. The reversal of 131340401313 is 313104043131.

It is not a de Polignac number, because 131340401313 - 218 = 131340139169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131340401317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4662156 + ... + 4690242.

It is an arithmetic number, because the mean of its divisors is an integer number (3197313216).

Almost surely, 2131340401313 is an apocalyptic number.

It is an amenable number.

131340401313 is a deficient number, since it is larger than the sum of its proper divisors (73287644511).

131340401313 is a wasteful number, since it uses less digits than its factorization.

131340401313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28286.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131340401313 its reverse (313104043131), we get a palindrome (444444444444).

The spelling of 131340401313 in words is "one hundred thirty-one billion, three hundred forty million, four hundred one thousand, three hundred thirteen".

Divisors: 1 3 11 23 33 61 69 101 183 253 303 671 759 1111 1403 2013 2323 3333 4209 6161 6969 15433 18483 25553 28087 46299 67771 76659 84261 141703 203313 308957 425109 646001 926871 1558733 1713307 1938003 2836787 4676199 5139921 7106011 8510361 18846377 21318033 31204657 39406061 56539131 65246101 93613971 118218183 173044007 195738303 433466671 519132021 717707111 1300400013 1903484077 2153121333 3980012161 5710452231 11940036483 43780133771 131340401313