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1312123012013 = 1117417117313933
BaseRepresentation
bin10011000110000000101…
…000000100001110101101
311122102211002221021100002
4103012000220010032231
5132444211442341023
62442440405514045
7163540426402622
oct23060050041655
94572732837302
101312123012013
11466517262590
1219236b412925
139696a89bb28
1447715668349
15241e8393b28
hex13180a043ad

1312123012013 has 64 divisors (see below), whose sum is σ = 1583655058944. Its totient is φ = 1073544192000.

The previous prime is 1312123012009. The next prime is 1312123012019. The reversal of 1312123012013 is 3102103212131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1312123012013 - 22 = 1312123012009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312123012019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94166795 + ... + 94180727.

It is an arithmetic number, because the mean of its divisors is an integer number (24744610296).

Almost surely, 21312123012013 is an apocalyptic number.

It is an amenable number.

1312123012013 is a deficient number, since it is larger than the sum of its proper divisors (271532046931).

1312123012013 is a wasteful number, since it uses less digits than its factorization.

1312123012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1312123012013 its reverse (3102103212131), we get a palindrome (4414226224144).

The spelling of 1312123012013 in words is "one trillion, three hundred twelve billion, one hundred twenty-three million, twelve thousand, thirteen".

Divisors: 1 11 17 41 71 173 187 451 697 781 1207 1903 2911 2941 7093 7667 12283 13277 13933 32021 32351 49487 78023 120581 135113 153263 208811 236861 503603 544357 571253 989243 1326391 2296921 2410409 2605471 5539633 6283783 8561251 9711301 10881673 16817131 26514499 40558963 40976953 94173761 98826769 106824311 171139039 184988441 446148593 450746483 689502371 1087094459 1680055073 1882529429 2909363663 7016700599 7584526081 18480605803 32003000293 77183706589 119283910183 1312123012013