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131324135137 = 1329348339881
BaseRepresentation
bin111101001001110000…
…1110100011011100001
3110112222012112021112221
41322103201310123201
54122422434311022
6140155055551041
712326222505436
oct1722341643341
9415865467487
10131324135137
1150770061498
122155022b481
13c4cb310150
1464db2adb8d
15363921ecc7
hex1e938746e1

131324135137 has 8 divisors (see below), whose sum is σ = 146302750440. Its totient is φ = 117042199680.

The previous prime is 131324135119. The next prime is 131324135233. The reversal of 131324135137 is 731531423131.

It can be written as a sum of positive squares in 4 ways, for example, as 17620969536 + 113703165601 = 132744^2 + 337199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131324135137 - 235 = 96964396769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131324175137) 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 7 ways as a sum of consecutive naturals, for example, 174169564 + ... + 174170317.

It is an arithmetic number, because the mean of its divisors is an integer number (18287843805).

Almost surely, 2131324135137 is an apocalyptic number.

It is an amenable number.

131324135137 is a deficient number, since it is larger than the sum of its proper divisors (14978615303).

131324135137 is a wasteful number, since it uses less digits than its factorization.

131324135137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348339923.

The product of its digits is 22680, while the sum is 34.

Adding to 131324135137 its reverse (731531423131), we get a palindrome (862855558268).

The spelling of 131324135137 in words is "one hundred thirty-one billion, three hundred twenty-four million, one hundred thirty-five thousand, one hundred thirty-seven".

Divisors: 1 13 29 377 348339881 4528418453 10101856549 131324135137