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201130131320131 = 13474396191211381
BaseRepresentation
bin101101101110110101000010…
…000001111110110101000011
3222101010212000200002111000211
4231232311002001332311003
5202330304002104221011
61551433523505454551
760236113103120446
oct5556650201766503
9871125020074024
10201130131320131
11590a489a751102
121a68444a041457
13882c64a6ba860
143794a70b5b65d
15183bcc9e58b21
hexb6ed4207ed43

201130131320131 has 32 divisors (see below), whose sum is σ = 222072486451200. Its totient is φ = 181001453523840.

The previous prime is 201130131320099. The next prime is 201130131320137. The reversal of 201130131320131 is 131023131031102.

It is a cyclic number.

It is not a de Polignac number, because 201130131320131 - 25 = 201130131320099 is a prime.

It is a super-3 number, since 3×2011301313201313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201130131320137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165428061 + ... + 166639441.

It is an arithmetic number, because the mean of its divisors is an integer number (6939765201600).

Almost surely, 2201130131320131 is an apocalyptic number.

201130131320131 is a deficient number, since it is larger than the sum of its proper divisors (20942355131069).

201130131320131 is a wasteful number, since it uses less digits than its factorization.

201130131320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212499.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 201130131320131 its reverse (131023131031102), we get a palindrome (332153262351233).

The spelling of 201130131320131 in words is "two hundred one trillion, one hundred thirty billion, one hundred thirty-one million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 13 47 439 611 619 5707 8047 20633 29093 268229 271741 378209 1211381 3532633 12771827 15747953 56934907 166033751 531796259 740153791 749844839 6913351367 9747982907 24994424173 35242707433 324927514249 329181884321 458155196629 4279364496173 15471548563087 201130131320131