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1313002123323 = 3111729101881907
BaseRepresentation
bin10011000110110101000…
…001100111000000111011
311122112002101010202100020
4103012311001213000323
5133003012020421243
62443103532141523
7163601262621432
oct23066501470073
94575071122306
101313002123323
11466928517960
121925759078a3
1396a7aa60737
144779a308119
152424a646283
hex131b506703b

1313002123323 has 128 divisors (see below), whose sum is σ = 2117335127040. Its totient is φ = 714362880000.

The previous prime is 1313002123291. The next prime is 1313002123331. The reversal of 1313002123323 is 3233212003131.

It is not a de Polignac number, because 1313002123323 - 25 = 1313002123291 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313002123293 and 1313002123302.

It is not an unprimeable number, because it can be changed into a prime (1313002123333) 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 127 ways as a sum of consecutive naturals, for example, 1447631436 + ... + 1447632342.

It is an arithmetic number, because the mean of its divisors is an integer number (16541680680).

Almost surely, 21313002123323 is an apocalyptic number.

1313002123323 is a deficient number, since it is larger than the sum of its proper divisors (804333003717).

1313002123323 is a wasteful number, since it uses less digits than its factorization.

1313002123323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1313002123323 its reverse (3233212003131), we get a palindrome (4546214126454).

The spelling of 1313002123323 in words is "one trillion, three hundred thirteen billion, two million, one hundred twenty-three thousand, three hundred twenty-three".

Divisors: 1 3 11 17 29 33 51 87 101 187 303 319 493 561 881 907 957 1111 1479 1717 2643 2721 2929 3333 5151 5423 8787 9691 9977 14977 15419 16269 18887 25549 26303 29073 29931 32219 44931 46257 49793 56661 76647 78909 88981 91607 96657 149379 164747 169609 266943 274821 281039 289333 434333 447151 494241 508827 547723 799067 843117 867999 978791 1007677 1302999 1341453 1512677 1557319 1643169 2397201 2580449 2656603 2936373 3023031 4538031 4671957 4777663 4918661 7741347 7969809 8789737 13584139 14332989 14755983 16639447 17130509 23172943 26369211 28384939 29222633 40752417 43867633 45162251 49918341 51391527 69518829 80705767 85154817 87667899 131602899 135486753 149425529 242117301 254902373 393940031 448276587 482543963 496784761 764707119 887763437 1181820093 1371998039 1447631889 1490354283 2340467243 2663290311 4115994117 4333340341 7021401729 13000021023 15091978429 25745139673 39787943131 45275935287 77235419019 119363829393 437667374441 1313002123323