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13144301121301 = 71491571932511657
BaseRepresentation
bin1011111101000110010101…
…1001100010111100010101
31201112120201221112000020121
42333101211121202330111
53210324012041340201
643542224130231541
72524434015034060
oct277214531427425
951476657460217
1013144301121301
114208515347a39
121583553a255b1
1374466b6700ac
1433628a98d8d7
1517bda7cae9a1
hexbf465662f15

13144301121301 has 64 divisors (see below), whose sum is σ = 15368275238400. Its totient is φ = 11011313664000.

The previous prime is 13144301121283. The next prime is 13144301121313. The reversal of 13144301121301 is 10312110344131.

It is a cyclic number.

It is not a de Polignac number, because 13144301121301 - 25 = 13144301121269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144301121101) 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, 7932588865 + ... + 7932590521.

It is an arithmetic number, because the mean of its divisors is an integer number (240129300600).

Almost surely, 213144301121301 is an apocalyptic number.

It is an amenable number.

13144301121301 is a deficient number, since it is larger than the sum of its proper divisors (2223974117099).

13144301121301 is a wasteful number, since it uses less digits than its factorization.

13144301121301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 13144301121301 its reverse (10312110344131), we get a palindrome (23456411465432).

The spelling of 13144301121301 in words is "thirteen trillion, one hundred forty-four billion, three hundred one million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 7 149 157 193 251 1043 1099 1351 1657 1757 11599 23393 28757 30301 37399 39407 48443 163751 201299 212107 246893 260149 261793 275849 319801 339101 415907 1728251 1821043 2238607 2911349 4514849 5871643 7218007 7605551 31603943 38762201 41101501 47650349 50208757 50526049 53238857 61970143 65297399 80270051 271335407 333552443 351461299 433791001 457081793 561890357 1133227099 7481104793 7932589693 9729312451 11960237599 12602398007 52367733551 68105187157 83721663193 88216786049 1877757303043 13144301121301