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131003122313331 = 3261238621352119
BaseRepresentation
bin11101110010010110001010…
…100100011110100001110011
3122011211202221211121122221100
4131302112022210132201303
5114132323343303011311
61142342000434255443
736410443331531022
oct3562261244364163
9564752854548840
10131003122313331
1138818126335364
1212839348727583
13581370668c0b8
14244c82916a8b9
151022a59eb4a56
hex77258a91e873

131003122313331 has 12 divisors (see below), whose sum is σ = 192328809808720. Its totient is φ = 85903686762480.

The previous prime is 131003122313311. The next prime is 131003122313339. The reversal of 131003122313331 is 133313221300131.

131003122313331 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 3 + 12 + 2 + 313 + 331 = 666.

It is not a de Polignac number, because 131003122313331 - 245 = 95818750224499 is a prime.

It is a super-2 number, since 2×1310031223133312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131003122313295 and 131003122313304.

It is not an unprimeable number, because it can be changed into a prime (131003122313339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119310675511 + ... + 119310676608.

Almost surely, 2131003122313331 is an apocalyptic number.

131003122313331 is a deficient number, since it is larger than the sum of its proper divisors (61325687495389).

131003122313331 is a wasteful number, since it uses less digits than its factorization.

131003122313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238621352186 (or 238621352183 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131003122313331 its reverse (133313221300131), we get a palindrome (264316343613462).

The spelling of 131003122313331 in words is "one hundred thirty-one trillion, three billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 61 183 549 238621352119 715864056357 2147592169071 14555902479259 43667707437777 131003122313331