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133130032101 = 321111327143913
BaseRepresentation
bin111101111111100101…
…0110001001111100101
3110201122001122100110200
41323333022301033211
54140122242011401
6141054210341113
712422041413243
oct1737712611745
9421561570420
10133130032101
1151507483620
1221974b8a799
13c7284b6331
14662d07d793
1536e2a40686
hex1eff2b13e5

133130032101 has 48 divisors (see below), whose sum is σ = 212422908672. Its totient is φ = 79673932800.

The previous prime is 133130032081. The next prime is 133130032111. The reversal of 133130032101 is 101230031331.

It is a happy number.

133130032101 is a `hidden beast` number, since 1 + 331 + 300 + 32 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 133130032101 - 217 = 133129901029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130032111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3009721 + ... + 3053633.

It is an arithmetic number, because the mean of its divisors is an integer number (4425477264).

Almost surely, 2133130032101 is an apocalyptic number.

133130032101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133130032101 is a deficient number, since it is larger than the sum of its proper divisors (79292876571).

133130032101 is a wasteful number, since it uses less digits than its factorization.

133130032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44314 (or 44311 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133130032101 its reverse (101230031331), we get a palindrome (234360063432).

The spelling of 133130032101 in words is "one hundred thirty-three billion, one hundred thirty million, thirty-two thousand, one hundred one".

Divisors: 1 3 9 11 33 99 113 271 339 813 1017 1243 2439 2981 3729 8943 11187 26829 30623 43913 91869 131739 275607 336853 395217 483043 1010559 1449129 3031677 4347387 4962169 11900423 14886507 35701269 44659521 54583859 107103807 130904653 163751577 392713959 491254731 1178141877 1344747799 4034243397 12102730191 14792225789 44376677367 133130032101