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331121221133313 = 313197983101674749
BaseRepresentation
bin100101101001001110010101…
…0110000110110010000000001
31121102101212202020000101022110
41023102130222300312100001
5321400042230102231223
63132122553343325533
7126513501352435212
oct11322345260662001
91542355666011273
10331121221133313
11965617a3021076
1231179616bb08a9
131129b79bcaa640
145baa4d1803409
152843352166d93
hex12d272ac36401

331121221133313 has 128 divisors (see below), whose sum is σ = 518000716800000. Its totient is φ = 186437730585600.

The previous prime is 331121221133299. The next prime is 331121221133441. The reversal of 331121221133313 is 313331122121133.

It is not a de Polignac number, because 331121221133313 - 26 = 331121221133249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331121221133513) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 490395063 + ... + 491069811.

It is an arithmetic number, because the mean of its divisors is an integer number (4046880600000).

Almost surely, 2331121221133313 is an apocalyptic number.

It is an amenable number.

331121221133313 is a deficient number, since it is larger than the sum of its proper divisors (186879495666687).

331121221133313 is a wasteful number, since it uses less digits than its factorization.

331121221133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675047.

The product of its digits is 5832, while the sum is 30.

Adding to 331121221133313 its reverse (313331122121133), we get a palindrome (644452343254446).

The spelling of 331121221133313 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 13 19 39 57 79 83 101 237 247 249 303 741 1027 1079 1313 1501 1577 1919 3081 3237 3939 4503 4731 5757 6557 7979 8383 19513 19671 20501 23937 24947 25149 58539 61503 74841 85241 103727 108979 124583 151601 159277 255723 311181 326937 373749 454803 477831 662257 674749 1619579 1970813 1986771 2024247 2070601 4858737 5912439 6211803 8609341 8771737 12582883 12820231 25828023 26315211 37748649 38460693 53305171 56004167 68149649 159915513 163577479 166663003 168012501 204448947 490732437 499989009 692967223 728054171 885945437 1012798249 1064079173 1294843331 2078901669 2184162513 2657836311 3038394747 3192237519 3884529993 4424329193 5383822271 5656420867 13166377237 13272987579 13833029249 16151466813 16832963303 16969262601 39499131711 41499087747 50498889909 57516279509 69989689523 73533471271 84062254667 102292623149 107471996473 172548838527 209969068569 220600413813 252186764001 306877869447 322415989419 446857248493 1092809310671 1329804100937 1340571745479 1397135954149 3278427932013 3989412302811 4191407862447 5809144230409 8490287721367 17427432691227 25470863164101 110373740377771 331121221133313