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131320211312041 = 1783347601446273
BaseRepresentation
bin11101110110111101011110…
…100011000000110110101001
3122012222002102022111202212121
4131312331132203000312221
5114203022243043441131
61143143401112111241
736442400153540143
oct3566753643006651
9565862368452777
10131320211312041
113892a652858294
121288a8a1095521
13583759aa7235b
14245dd09b17c93
15102ae17a7a911
hex776f5e8c0da9

131320211312041 has 32 divisors (see below), whose sum is σ = 141360838270848. Its totient is φ = 121551640166400.

The previous prime is 131320211312023. The next prime is 131320211312089. The reversal of 131320211312041 is 140213112023131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131320211312041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131320211311997 and 131320211312015.

It is not an unprimeable number, because it can be changed into a prime (131320211312141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294036681 + ... + 294482953.

It is an arithmetic number, because the mean of its divisors is an integer number (4417526195964).

Almost surely, 2131320211312041 is an apocalyptic number.

It is an amenable number.

131320211312041 is a deficient number, since it is larger than the sum of its proper divisors (10040626958807).

131320211312041 is a wasteful number, since it uses less digits than its factorization.

131320211312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447321.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 131320211312041 its reverse (140213112023131), we get a palindrome (271533323335172).

The spelling of 131320211312041 in words is "one hundred thirty-one trillion, three hundred twenty billion, two hundred eleven million, three hundred twelve thousand, forty-one".

Divisors: 1 17 83 347 601 1411 5899 10217 28801 49883 208547 446273 489617 848011 3545299 7586641 17309401 37040659 154856731 268210073 294259817 629691203 2632564427 4559571241 12853108673 22261436059 93068895331 218502847441 378444413003 1582171220627 7724718312473 131320211312041