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13132001310321 = 317378363832141
BaseRepresentation
bin1011111100011000100001…
…0001011111011001110001
31201111101222202020212112210
42333012020101133121301
53210123314313412241
643532431430442333
72523520143255615
oct277061021373161
951441882225483
1013132001310321
1142032834309a3
1215810a08033a9
1374345b37582a
1433584120b345
1517b8d806b316
hexbf18845f671

13132001310321 has 32 divisors (see below), whose sum is σ = 19042657642368. Its totient is φ = 8016024591360.

The previous prime is 13132001310301. The next prime is 13132001310341. The reversal of 13132001310321 is 12301310023131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13132001310301) and next prime (13132001310341).

It is not a de Polignac number, because 13132001310321 - 26 = 13132001310257 is a prime.

It is a super-2 number, since 2×131320013103212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13132001310301) 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 31 ways as a sum of consecutive naturals, for example, 15364911 + ... + 16197051.

It is an arithmetic number, because the mean of its divisors is an integer number (595083051324).

Almost surely, 213132001310321 is an apocalyptic number.

It is an amenable number.

13132001310321 is a deficient number, since it is larger than the sum of its proper divisors (5910656332047).

13132001310321 is a wasteful number, since it uses less digits than its factorization.

13132001310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840561.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13132001310321 its reverse (12301310023131), we get a palindrome (25433311333452).

The spelling of 13132001310321 in words is "thirteen trillion, one hundred thirty-two billion, one million, three hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 17 37 51 111 629 1887 8363 25089 142171 309431 426513 832141 928293 2496423 5260327 14146397 15780981 30789217 42439191 92367651 523416689 1570250067 6959195183 20877585549 118306318111 257490221771 354918954333 772470665313 4377333770107 13132001310321