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13130001031221 = 322979636791359
BaseRepresentation
bin1011111100010001000100…
…0011000010000000110101
31201111012211100101011110200
42333010101003002000311
53210110220230444341
643531501133511113
72523416444212254
oct277042103020065
951435740334420
1013130001031221
114202447313678
121580822942499
137431ccb31429
143356d16bc79b
1517b81c650db6
hexbf1110c2035

13130001031221 has 24 divisors (see below), whose sum is σ = 19867890432000. Its totient is φ = 8344513955232.

The previous prime is 13130001031159. The next prime is 13130001031249. The reversal of 13130001031221 is 12213010003131.

13130001031221 is a `hidden beast` number, since 1 + 31 + 300 + 0 + 1 + 0 + 312 + 21 = 666.

It is not a de Polignac number, because 13130001031221 - 210 = 13130001030197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13130001031194 and 13130001031203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130001031261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318375061 + ... + 318416298.

It is an arithmetic number, because the mean of its divisors is an integer number (827828768000).

Almost surely, 213130001031221 is an apocalyptic number.

It is an amenable number.

13130001031221 is a deficient number, since it is larger than the sum of its proper divisors (6737889400779).

13130001031221 is a wasteful number, since it uses less digits than its factorization.

13130001031221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636791473 (or 636791470 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13130001031221 its reverse (12213010003131), we get a palindrome (25343011034352).

The spelling of 13130001031221 in words is "thirteen trillion, one hundred thirty billion, one million, thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 29 79 87 237 261 711 2291 6873 20619 636791359 1910374077 5731122231 18466949411 50306517361 55400848233 150919552083 166202544699 452758656249 1458889003469 4376667010407 13130001031221