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13131000011321 = 443239327414519
BaseRepresentation
bin1011111100010100110010…
…0101110101101000111001
31201111022101222010121112122
42333011030211311220321
53210114242000330241
643532144221251025
72523453264334553
oct277051445655071
951438358117478
1013131000011321
11420290a200165
121580a61403a75
1374332baa230a
143357882424d3
1517b87a1d004b
hexbf14c975a39

13131000011321 has 16 divisors (see below), whose sum is σ = 13173858714240. Its totient is φ = 13088209380480.

The previous prime is 13131000011317. The next prime is 13131000011329. The reversal of 13131000011321 is 12311000013131.

It is a cyclic number.

It is not a de Polignac number, because 13131000011321 - 22 = 13131000011317 is a prime.

It is a super-2 number, since 2×131310000113212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13131000011321.

It is not an unprimeable number, because it can be changed into a prime (13131000011329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2905729100 + ... + 2905733618.

It is an arithmetic number, because the mean of its divisors is an integer number (823366169640).

Almost surely, 213131000011321 is an apocalyptic number.

It is an amenable number.

13131000011321 is a deficient number, since it is larger than the sum of its proper divisors (42858702919).

13131000011321 is a wasteful number, since it uses less digits than its factorization.

13131000011321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13131000011321 its reverse (12311000013131), we get a palindrome (25442000024452).

The spelling of 13131000011321 in words is "thirteen trillion, one hundred thirty-one billion, eleven thousand, three hundred twenty-one".

Divisors: 1 443 2393 2741 4519 1060099 1214263 2001917 6559213 10813967 12386579 2905731359 4790587381 5487254497 29641083547 13131000011321