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13110111310121 = 7531491913173917
BaseRepresentation
bin1011111011000110111110…
…0001110001000100101001
31201102022111012100122102122
42332301233201301010221
53204244001443410441
643514411344041025
72522113531321220
oct276615741610451
951368435318378
1013110111310121
1141a4a70066841
1215789b1903175
13741380258aa7
14334765d01cb7
1517b05641a34b
hexbec6f871129

13110111310121 has 64 divisors (see below), whose sum is σ = 15501288038400. Its totient is φ = 10856745968640.

The previous prime is 13110111310117. The next prime is 13110111310129. The reversal of 13110111310121 is 12101311101131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13110111310121 - 22 = 13110111310117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13110111310121.

It is not an unprimeable number, because it can be changed into a prime (13110111310129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3346975655 + ... + 3346979571.

It is an arithmetic number, because the mean of its divisors is an integer number (242207625600).

Almost surely, 213110111310121 is an apocalyptic number.

It is an amenable number.

13110111310121 is a deficient number, since it is larger than the sum of its proper divisors (2391176728279).

13110111310121 is a wasteful number, since it uses less digits than its factorization.

13110111310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 13110111310121 its reverse (12101311101131), we get a palindrome (25211422411252).

The spelling of 13110111310121 in words is "thirteen trillion, one hundred ten billion, one hundred eleven million, three hundred ten thousand, one hundred twenty-one".

Divisors: 1 7 53 149 191 317 371 1043 1337 2219 3917 7897 10123 16801 27419 28459 47233 55279 60547 70861 117607 199213 207601 330631 423829 583633 748147 1241689 1453207 1508327 2503349 3208991 4085431 5237029 8691823 9021503 10558289 17523443 22462937 30932549 39651791 63150521 65809517 111473903 185011661 216527843 237162599 277562537 460666619 478139659 780317321 1295081627 1660138193 3346977613 5908116859 9805618033 12569617747 35337227251 41356818013 68639326231 87987324229 247360590757 1872873044303 13110111310121