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13301114231133 = 3259143329174767
BaseRepresentation
bin1100000110001110100000…
…1100000101100101011101
31202002120111112001100210100
43001203220030011211131
53220411140220344013
644142240355331313
72541655003341231
oct301435014054535
952076445040710
1013301114231133
114268a75251373
1215a9a182b0b39
1375639c5ab391
1433dac512c5c1
15180ed4a8d473
hexc18e830595d

13301114231133 has 24 divisors (see below), whose sum is σ = 19538608003200. Its totient is φ = 8717003714304.

The previous prime is 13301114231123. The next prime is 13301114231183. The reversal of 13301114231133 is 33113241110331.

13301114231133 is a `hidden beast` number, since 1 + 3 + 301 + 1 + 1 + 42 + 311 + 3 + 3 = 666.

It is not a de Polignac number, because 13301114231133 - 241 = 11102090975581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13301114231097 and 13301114231106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301114231123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76020316 + ... + 76195082.

It is an arithmetic number, because the mean of its divisors is an integer number (814108666800).

Almost surely, 213301114231133 is an apocalyptic number.

It is an amenable number.

13301114231133 is a deficient number, since it is larger than the sum of its proper divisors (6237493772067).

13301114231133 is a wasteful number, since it uses less digits than its factorization.

13301114231133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318161 (or 318158 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 13301114231133 its reverse (33113241110331), we get a palindrome (46414355341464).

The spelling of 13301114231133 in words is "thirteen trillion, three hundred one billion, one hundred fourteen million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 59 177 531 143329 174767 429987 524301 1289961 1572903 8456411 10311253 25369233 30933759 76107699 92801277 25049179343 75147538029 225442614087 1477901581237 4433704743711 13301114231133