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13313320101 = 3283223229349
BaseRepresentation
bin11000110011000100…
…10010010010100101
31021100211100201211200
430121202102102211
5204231202220401
610041022353113
7650626232214
oct143142222245
937324321750
1013313320101
115712027494
1226b672b799
131342284603
1490420907b
1552dbe2686
hex3198924a5

13313320101 has 48 divisors (see below), whose sum is σ = 19690944000. Its totient is φ = 8666269056.

The previous prime is 13313320093. The next prime is 13313320127. The reversal of 13313320101 is 10102331331.

It is a happy number.

13313320101 is a `hidden beast` number, since 1 + 331 + 3 + 320 + 10 + 1 = 666.

It is not a de Polignac number, because 13313320101 - 23 = 13313320093 is a prime.

It is a super-2 number, since 2×133133201012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313320301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38146875 + ... + 38147223.

It is an arithmetic number, because the mean of its divisors is an integer number (410228000).

Almost surely, 213313320101 is an apocalyptic number.

It is an amenable number.

13313320101 is a deficient number, since it is larger than the sum of its proper divisors (6377623899).

13313320101 is a wasteful number, since it uses less digits than its factorization.

13313320101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13313320101 its reverse (10102331331), we get a palindrome (23415651432).

The spelling of 13313320101 in words is "thirteen billion, three hundred thirteen million, three hundred twenty thousand, one hundred one".

Divisors: 1 3 9 83 223 229 249 349 669 687 747 1047 2007 2061 3141 18509 19007 28967 51067 55527 57021 77827 79921 86901 153201 166581 171063 233481 239763 260703 459603 700443 719289 4238561 6459641 6633443 12715683 17822383 19378923 19900329 38147049 53467149 58136769 59700987 160401447 1479257789 4437773367 13313320101