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131322041133 = 31741532514721
BaseRepresentation
bin111101001001101100…
…1110101001100101101
3110112222001120220010020
41322103121311030231
54122421420304013
6140154543032353
712326165634453
oct1722331651455
9415861526106
10131322041133
1150769961208
122154b59b6b9
13c4caa58caa
1464dacc69d3
153638e59623
hex1e9367532d

131322041133 has 64 divisors (see below), whose sum is σ = 194313095424. Its totient is φ = 78540800000.

The previous prime is 131322041093. The next prime is 131322041153. The reversal of 131322041133 is 331140223131.

It is a cyclic number.

It is not a de Polignac number, because 131322041133 - 26 = 131322041069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322041153) 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, 27814213 + ... + 27818933.

It is an arithmetic number, because the mean of its divisors is an integer number (3036142116).

Almost surely, 2131322041133 is an apocalyptic number.

It is an amenable number.

131322041133 is a deficient number, since it is larger than the sum of its proper divisors (62991054291).

131322041133 is a wasteful number, since it uses less digits than its factorization.

131322041133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086.

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

Adding to 131322041133 its reverse (331140223131), we get a palindrome (462462264264).

The spelling of 131322041133 in words is "one hundred thirty-one billion, three hundred twenty-two million, forty-one thousand, one hundred thirty-three".

Divisors: 1 3 17 41 51 53 123 159 251 697 753 901 2091 2173 2703 4267 4721 6519 10291 12801 13303 14163 30873 36941 39909 80257 110823 174947 193561 226151 240771 250213 524841 545423 580683 678453 750639 1184971 1636269 3290537 3554913 4253621 9272191 9871611 10258733 12760863 20144507 27816573 30776199 48583811 60433521 62803463 145751433 174398461 188410389 523195383 825924787 1067658871 2477774361 2574941983 3202976613 7724825949 43774013711 131322041133