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131331023313 = 37311931104473
BaseRepresentation
bin111101001001111110…
…0000110000111010001
3110112222200111020100120
41322103330012013101
54122431220221223
6140155503340453
712326335164540
oct1722374060721
9415880436316
10131331023313
1150773a366a6
12215525b1729
13c4cc8824a9
1464dc184157
153639b30be3
hex1e93f061d1

131331023313 has 32 divisors (see below), whose sum is σ = 206688018432. Its totient is φ = 72587145600.

The previous prime is 131331023311. The next prime is 131331023353. The reversal of 131331023313 is 313320133131.

It is not a de Polignac number, because 131331023313 - 21 = 131331023311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131331023311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204845 + ... + 1309317.

It is an arithmetic number, because the mean of its divisors is an integer number (6459000576).

Almost surely, 2131331023313 is an apocalyptic number.

It is an amenable number.

131331023313 is a deficient number, since it is larger than the sum of its proper divisors (75356995119).

131331023313 is a wasteful number, since it uses less digits than its factorization.

131331023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106445.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131331023313 its reverse (313320133131), we get a palindrome (444651156444).

The spelling of 131331023313 in words is "one hundred thirty-one billion, three hundred thirty-one million, twenty-three thousand, three hundred thirteen".

Divisors: 1 3 7 21 31 93 217 651 1931 5793 13517 40551 59861 104473 179583 313419 419027 731311 1257081 2193933 3238663 9715989 22670641 68011923 201737363 605212089 1412161541 4236484623 6253858253 18761574759 43777007771 131331023313