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121330133221113 = 3413916765997919
BaseRepresentation
bin11011100101100101011111…
…011111011011111011111001
3120220121001021121002201120000
4123211211133133123323321
5111400333103101033423
61110014143240023213
734361545544052255
oct3345453737337371
9526531247081500
10121330133221113
1135728903151423
1211736714161b09
1352914c8391b5b
1421d65a4621265
15e0611dc1c843
hex6e595f7dbef9

121330133221113 has 80 divisors (see below), whose sum is σ = 183923841024000. Its totient is φ = 79702026189408.

The previous prime is 121330133221079. The next prime is 121330133221147. The reversal of 121330133221113 is 311122331033121.

121330133221113 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 301 + 332 + 2 + 11 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (121330133221079) and next prime (121330133221147).

It is not a de Polignac number, because 121330133221113 - 217 = 121330133090041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121330133221163) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1239037768 + ... + 1239135686.

It is an arithmetic number, because the mean of its divisors is an integer number (2299048012800).

Almost surely, 2121330133221113 is an apocalyptic number.

It is an amenable number.

121330133221113 is a deficient number, since it is larger than the sum of its proper divisors (62593707802887).

121330133221113 is a wasteful number, since it uses less digits than its factorization.

121330133221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98896 (or 98887 counting only the distinct ones).

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

Adding to 121330133221113 its reverse (311122331033121), we get a palindrome (432452464254234).

The spelling of 121330133221113 in words is "one hundred twenty-one trillion, three hundred thirty billion, one hundred thirty-three million, two hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 27 81 139 167 417 501 659 1251 1503 1977 3753 4509 5931 11259 13527 17793 23213 53379 69639 91601 97919 110053 208917 274803 293757 330159 626751 824409 881271 990477 1880253 2473227 2643813 2971431 7419681 7931439 8914293 13610741 15297367 16352473 40832223 45892101 49057419 64528621 122496669 137676303 147172257 193585863 367490007 413028909 441516771 580757589 1102470021 1239086727 1324550313 1742272767 2272993747 5226818301 6818981241 8969478319 10776279707 20456943723 26908434957 32328839121 61370831169 80725304871 96986517363 184112493507 242175914613 290959552089 726527743839 872878656267 1497902879273 4493708637819 13481125913457 40443377740371 121330133221113