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133312121012301 = 37114313421133697
BaseRepresentation
bin11110010011111100100101…
…100111100000000001001101
3122111000111212221000210222120
4132103330211213200001031
5114433141210434343201
61151310424250003153
740036324430613420
oct3623744547400115
9574014787023876
10133312121012301
1139528397965140
1212b509477164b9
1359503821680ca
1424cc4abd159b7
151062b4a672536
hex793f259e004d

133312121012301 has 32 divisors (see below), whose sum is σ = 226763474961408. Its totient is φ = 67642513827840.

The previous prime is 133312121012263. The next prime is 133312121012311. The reversal of 133312121012301 is 103210121213331.

It is not a de Polignac number, because 133312121012301 - 211 = 133312121010253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312121012311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6710556916 + ... + 6710576781.

It is an arithmetic number, because the mean of its divisors is an integer number (7086358592544).

Almost surely, 2133312121012301 is an apocalyptic number.

133312121012301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133312121012301 is a deficient number, since it is larger than the sum of its proper divisors (93451353949107).

133312121012301 is a wasteful number, since it uses less digits than its factorization.

133312121012301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13421133761.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 133312121012301 its reverse (103210121213331), we get a palindrome (236522242225632).

The spelling of 133312121012301 in words is "one hundred thirty-three trillion, three hundred twelve billion, one hundred twenty-one million, twelve thousand, three hundred one".

Divisors: 1 3 7 11 21 33 43 77 129 231 301 473 903 1419 3311 9933 13421133697 40263401091 93947935879 147632470667 281843807637 442897412001 577108748971 1033427294669 1731326246913 3100281884007 4039761242797 6348196238681 12119283728391 19044588716043 44437373670767 133312121012301