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13121412023313 = 3211414317500397
BaseRepresentation
bin1011111011110001000100…
…0110100100010000010001
31201110101122202122100121200
42332330101012210100101
53204440122434221223
643523520553341413
72522663551644006
oct276742106442021
951411582570550
1013121412023313
1141a983a015930
12157b026407869
13742461570a29
14335118acd8ad
1517b4b85a9a43
hexbef111a4411

13121412023313 has 48 divisors (see below), whose sum is σ = 21229606524672. Its totient is φ = 7740408672000.

The previous prime is 13121412023311. The next prime is 13121412023339. The reversal of 13121412023313 is 31332021412131.

13121412023313 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 412 + 0 + 233 + 13 = 666.

It is not a de Polignac number, because 13121412023313 - 21 = 13121412023311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13121412023311) 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 47 ways as a sum of consecutive naturals, for example, 2000770 + ... + 5499627.

It is an arithmetic number, because the mean of its divisors is an integer number (442283469264).

Almost surely, 213121412023313 is an apocalyptic number.

It is an amenable number.

13121412023313 is a deficient number, since it is larger than the sum of its proper divisors (8108194501359).

13121412023313 is a wasteful number, since it uses less digits than its factorization.

13121412023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500886 (or 7500883 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13121412023313 its reverse (31332021412131), we get a palindrome (44453433435444).

The spelling of 13121412023313 in words is "thirteen trillion, one hundred twenty-one billion, four hundred twelve million, twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 41 99 123 369 431 451 1293 1353 3879 4059 4741 14223 17671 42669 53013 159039 194381 583143 1749429 7500397 22501191 67503573 82504367 247513101 307516277 742539303 922548831 2767646493 3232671107 3382679047 9698013321 10148037141 29094039963 30444111423 35559382177 106678146531 132539515387 320034439593 397618546161 1192855638483 1457934669257 4373804007771 13121412023313