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131421002201313 = 311294133110119079
BaseRepresentation
bin11101111000011011010110…
…001001101111100011100001
3122020022201120121100110020120
4131320123112021233203201
5114211200203030420223
61143301550330430453
736452565643135236
oct3570332611574341
9566281517313216
10131421002201313
1138969374671190
12128a632b892429
135843c41394ac6
142464b4bc1178d
15102d86643cbe3
hex7786d626f8e1

131421002201313 has 64 divisors (see below), whose sum is σ = 203184650188800. Its totient is φ = 74800224576000.

The previous prime is 131421002201311. The next prime is 131421002201317. The reversal of 131421002201313 is 313102200124131.

It is not a de Polignac number, because 131421002201313 - 21 = 131421002201311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131421002201311) 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, 7927908 + ... + 18046986.

It is an arithmetic number, because the mean of its divisors is an integer number (3174760159200).

Almost surely, 2131421002201313 is an apocalyptic number.

It is an amenable number.

131421002201313 is a deficient number, since it is larger than the sum of its proper divisors (71763647987487).

131421002201313 is a wasteful number, since it uses less digits than its factorization.

131421002201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10119494.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131421002201313 its reverse (313102200124131), we get a palindrome (444523202325444).

The spelling of 131421002201313 in words is "one hundred thirty-one trillion, four hundred twenty-one billion, two million, two hundred one thousand, three hundred thirteen".

Divisors: 1 3 11 29 33 41 87 123 319 331 451 957 993 1189 1353 3567 3641 9599 10923 13079 13571 28797 39237 40713 105589 149281 316767 393559 447843 1180677 4329149 10119079 12987447 30357237 111309869 293453291 333929607 414882239 880359873 1244646717 3227986201 3349415149 4563704629 9683958603 10048245447 12031584931 13691113887 36094754793 36843566639 97133039321 110530699917 132347434241 137326021109 291399117963 397042302723 411978063327 1068463432531 1510586232199 3205390297593 3982454612161 4531758696597 11947363836483 43807000733771 131421002201313