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133011130020041 = 71323589011078937
BaseRepresentation
bin11110001111100100010001…
…001001111111000011001001
3122102221201222100101011102102
4132033210101021333003021
5114413223243241120131
61150520245232243145
740005510540444560
oct3617442111770311
9572851870334372
10133011130020041
1139421781337779
1212b025463a04b5
13592ab84c34360
1424bbab732cbd7
151059dd0eb11cb
hex78f91127f0c9

133011130020041 has 32 divisors (see below), whose sum is σ = 170826717132288. Its totient is φ = 100662139353600.

The previous prime is 133011130019981. The next prime is 133011130020173. The reversal of 133011130020041 is 140020031110331.

It is a cyclic number.

It is not a de Polignac number, because 133011130020041 - 210 = 133011130019017 is a prime.

It is a super-3 number, since 3×1330111300200413 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 133011130019995 and 133011130020022.

It is not an unprimeable number, because it can be changed into a prime (133011130022041) 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, 122740325 + ... + 123819261.

It is an arithmetic number, because the mean of its divisors is an integer number (5338334910384).

Almost surely, 2133011130020041 is an apocalyptic number.

It is an amenable number.

133011130020041 is a deficient number, since it is larger than the sum of its proper divisors (37815587112247).

133011130020041 is a wasteful number, since it uses less digits than its factorization.

133011130020041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137881.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 133011130020041 its reverse (140020031110331), we get a palindrome (273031161130372).

The spelling of 133011130020041 in words is "one hundred thirty-three trillion, eleven billion, one hundred thirty million, twenty thousand, forty-one".

Divisors: 1 7 13 23 91 161 299 2093 58901 412307 765713 1078937 1354723 5359991 7552559 9483061 14026181 17611399 24815551 98183267 123279793 173708857 322602163 2258215141 63550468237 444853277659 826156087081 1461660769451 5783092609567 10231625386157 19001590002863 133011130020041