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13313301001 = 7112132175471
BaseRepresentation
bin11000110011000100…
…01101101000001001
31021100211022202122021
430121202031220021
5204231201113001
610041022124441
7650626122430
oct143142155011
937324282567
1013313301001
115712014100
1226b6720721
131342278a00
14904202117
1552dbdbba1
hex31988da09

13313301001 has 72 divisors (see below), whose sum is σ = 19178353152. Its totient is φ = 9011059200.

The previous prime is 13313300983. The next prime is 13313301017. The reversal of 13313301001 is 10010331331.

It is not a de Polignac number, because 13313301001 - 27 = 13313300873 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313301031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2430696 + ... + 2436166.

It is an arithmetic number, because the mean of its divisors is an integer number (266366016).

Almost surely, 213313301001 is an apocalyptic number.

13313301001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13313301001 is a deficient number, since it is larger than the sum of its proper divisors (5865052151).

13313301001 is a wasteful number, since it uses less digits than its factorization.

13313301001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13313301001 its reverse (10010331331), we get a palindrome (23323632332).

It can be divided in two parts, 1331330 and 1001, that added together give a palindrome (1332331).

The spelling of 13313301001 in words is "thirteen billion, three hundred thirteen million, three hundred one thousand, one".

Divisors: 1 7 11 13 17 77 91 119 121 143 169 187 221 847 1001 1183 1309 1547 1573 1859 2057 2431 2873 5471 11011 13013 14399 17017 20111 20449 26741 31603 38297 60181 71123 93007 143143 187187 221221 347633 421267 497861 651049 661991 782353 924599 1023077 1209091 2433431 4633937 5476471 6472193 7161539 8463637 8605883 10170589 11253847 13300001 15718183 60241181 71194123 78776929 93100007 110027281 111876479 146300011 172900013 783135353 1024100077 1210300091 1901900143 13313301001