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13111111123113 = 337917416623389
BaseRepresentation
bin1011111011001010101100…
…0111110000000010101001
31201102102001212200102000110
42332302223013300002221
53204303023421414423
643515054501324533
72522150361513003
oct276625307600251
951372055612013
1013111111123113
1141a5433472073
121579030706749
137414ac42bb03
1433481ca01373
1517b0b40b1193
hexbecab1f00a9

13111111123113 has 16 divisors (see below), whose sum is σ = 17537676977600. Its totient is φ = 8712669510720.

The previous prime is 13111111123081. The next prime is 13111111123151. The reversal of 13111111123113 is 31132111111131.

13111111123113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13111111123113 - 25 = 13111111123081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13111111123113.

It is not an unprimeable number, because it can be changed into a prime (13111111123163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332178 + ... + 5291211.

It is an arithmetic number, because the mean of its divisors is an integer number (1096104811100).

Almost surely, 213111111123113 is an apocalyptic number.

It is an amenable number.

13111111123113 is a deficient number, since it is larger than the sum of its proper divisors (4426565854487).

13111111123113 is a wasteful number, since it uses less digits than its factorization.

13111111123113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625512.

The product of its digits is 54, while the sum is 21.

Adding to 13111111123113 its reverse (31132111111131), we get a palindrome (44243222234244).

The spelling of 13111111123113 in words is "thirteen trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 379 1137 1741 5223 659839 1979517 6623389 19870167 2510264431 7530793293 11531320249 34593960747 4370370374371 13111111123113