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131303120301333 = 33671133089207941
BaseRepresentation
bin11101110110101101100011…
…110101111110110100010101
3122012220110022012202110202000
4131312231203311332310111
5114202232242244120313
61143131453140305513
736441223503413451
oct3566554365766425
9565813265673660
10131303120301333
1138923382387a52
12128875113a2299
135835aa5c64c76
14245d167d07661
15102a7673c7673
hex776b63d7ed15

131303120301333 has 64 divisors (see below), whose sum is σ = 199239045062400. Its totient is φ = 85437748408320.

The previous prime is 131303120301289. The next prime is 131303120301337. The reversal of 131303120301333 is 333103021303131.

131303120301333 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 3 + 1 + 20 + 301 + 333 = 666.

It is not a de Polignac number, because 131303120301333 - 216 = 131303120235797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131303120301297 and 131303120301306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303120301337) 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, 631340143 + ... + 631548083.

It is an arithmetic number, because the mean of its divisors is an integer number (3113110079100).

Almost surely, 2131303120301333 is an apocalyptic number.

It is an amenable number.

131303120301333 is a deficient number, since it is larger than the sum of its proper divisors (67935924761067).

131303120301333 is a wasteful number, since it uses less digits than its factorization.

131303120301333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211219 (or 211213 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 131303120301333 its reverse (333103021303131), we get a palindrome (464406141604464).

The spelling of 131303120301333 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty million, three hundred one thousand, three hundred thirty-three".

Divisors: 1 3 9 27 67 113 201 339 603 1017 1809 3051 3089 7571 9267 22713 27801 68139 83403 204417 206963 207941 349057 620889 623823 1047171 1862667 1871469 3141513 5588001 5614407 9424539 13932047 23386819 23497333 41796141 70160457 70491999 125388423 210481371 211475997 376165269 631444113 634427991 642329749 1574321311 1926989247 4722963933 5780967741 14168891799 17342903223 42506675397 43036093183 72583261637 129108279549 217749784911 387324838647 653249354733 1161974515941 1959748064199 4863078529679 14589235589037 43767706767111 131303120301333