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13101200200121 = 1123914341347489
BaseRepresentation
bin1011111010100101110001…
…1000100101000110111001
31201101110111011112100120112
42332221130120211012321
53204122224222400441
643510335220034105
72521346645200535
oct276513430450671
951343434470515
1013101200200121
1141a1207a68a20
121577125532935
1374059002c437
1433415c628bc5
1517abd3e4b4eb
hexbea5c6251b9

13101200200121 has 16 divisors (see below), whose sum is σ = 14353060550400. Its totient is φ = 11859487449600.

The previous prime is 13101200200097. The next prime is 13101200200139. The reversal of 13101200200121 is 12100200210131.

It is a de Polignac number, because none of the positive numbers 2k-13101200200121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13101200200096 and 13101200200105.

It is not an unprimeable number, because it can be changed into a prime (13101200200421) 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 15 ways as a sum of consecutive naturals, for example, 37528745 + ... + 37876233.

It is an arithmetic number, because the mean of its divisors is an integer number (897066284400).

Almost surely, 213101200200121 is an apocalyptic number.

13101200200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13101200200121 is a deficient number, since it is larger than the sum of its proper divisors (1251860350279).

13101200200121 is a wasteful number, since it uses less digits than its factorization.

13101200200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362080.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13101200200121 its reverse (12100200210131), we get a palindrome (25201400410252).

The spelling of 13101200200121 in words is "thirteen trillion, one hundred one billion, two hundred million, two hundred thousand, one hundred twenty-one".

Divisors: 1 11 239 2629 14341 157751 347489 3427499 3822379 37702489 83049871 913548581 4983339749 54816737239 1191018200011 13101200200121