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131413331131341 = 37231631739648473
BaseRepresentation
bin11101111000010100001100…
…111010111011101111001101
3122020021222202222212201111220
4131320110030322323233031
5114211034000232200331
61143254241221033553
736452204565125610
oct3570241472735715
9566258688781456
10131413331131341
1138966098537836
12128a494a8558b9
1358432bb03b74c
1424646210cc177
15102d567c68296
hex77850cebbbcd

131413331131341 has 64 divisors (see below), whose sum is σ = 211452559921152. Its totient is φ = 70975086285312.

The previous prime is 131413331131319. The next prime is 131413331131349. The reversal of 131413331131341 is 143131133314131.

It is not a de Polignac number, because 131413331131341 - 215 = 131413331098573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413331131349) 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, 8795881 + ... + 18444353.

It is an arithmetic number, because the mean of its divisors is an integer number (3303946248768).

Almost surely, 2131413331131341 is an apocalyptic number.

It is an amenable number.

131413331131341 is a deficient number, since it is larger than the sum of its proper divisors (80039228789811).

131413331131341 is a wasteful number, since it uses less digits than its factorization.

131413331131341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9648842.

The product of its digits is 11664, while the sum is 33.

Adding to 131413331131341 its reverse (143131133314131), we get a palindrome (274544464445472).

The spelling of 131413331131341 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty-one million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 7 21 23 69 161 163 173 483 489 519 1141 1211 3423 3633 3749 3979 11247 11937 26243 27853 28199 78729 83559 84597 197393 592179 648577 1945731 4540039 9648473 13620117 28945419 67539311 202617933 221914879 665744637 1553404153 1572701099 1669185829 4660212459 4718103297 5007557487 11008907693 11684300803 33026723079 35052902409 36172125277 38391274067 108516375831 115173822201 253204876939 268738918469 272077290127 759614630817 806216755407 816231870381 1904541030889 5713623092667 6257777672921 18773333018763 43804443710447 131413331131341