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131332113121311 = 32191366956187289
BaseRepresentation
bin11101110111001000100011…
…111100110100000000011111
3122020000020010202212022212100
4131313020203330310000133
5114203221131424340221
61143153050113140143
736443301123335424
oct3567104374640037
9566006122768770
10131332113121311
11389347000437a3
1212891062b5a653
135838746777a4b
142460718695d4b
15102b3b28a2926
hex777223f3401f

131332113121311 has 24 divisors (see below), whose sum is σ = 199700866118000. Its totient is φ = 82940528057472.

The previous prime is 131332113121289. The next prime is 131332113121331. The reversal of 131332113121311 is 113121311233131.

131332113121311 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 211 + 312 + 131 + 1 = 666.

It is not a de Polignac number, because 131332113121311 - 227 = 131331978903583 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 (131332113121331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25756246 + ... + 30431043.

Almost surely, 2131332113121311 is an apocalyptic number.

131332113121311 is a deficient number, since it is larger than the sum of its proper divisors (68368752996689).

131332113121311 is a wasteful number, since it uses less digits than its factorization.

131332113121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56200983 (or 56200980 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 131332113121311 its reverse (113121311233131), we get a palindrome (244453424354442).

The spelling of 131332113121311 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 19 57 171 13669 41007 123021 259711 779133 2337399 56187289 168561867 505685601 1067558491 3202675473 9608026419 768024053341 2304072160023 6912216480069 14592457013479 43777371040437 131332113121311