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13131002321101 = 73795467390529
BaseRepresentation
bin1011111100010100110010…
…1110101001100011001101
31201111022102010110221222001
42333011030232221203031
53210114243043233401
643532144342552301
72523453323064610
oct277051456514315
951438363427861
1013131002321101
114202910538575
121580a62138691
1374332c400752
14335788684177
1517b87a4d9601
hexbf14cba98cd

13131002321101 has 16 divisors (see below), whose sum is σ = 15046897148800. Its totient is φ = 11225118578688.

The previous prime is 13131002321093. The next prime is 13131002321111. The reversal of 13131002321101 is 10112320013131.

It is not a de Polignac number, because 13131002321101 - 23 = 13131002321093 is a prime.

It is a super-3 number, since 3×131310023211013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131002321111) 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, 145002205 + ... + 145092733.

It is an arithmetic number, because the mean of its divisors is an integer number (940431071800).

Almost surely, 213131002321101 is an apocalyptic number.

It is an amenable number.

13131002321101 is a deficient number, since it is larger than the sum of its proper divisors (1915894827699).

13131002321101 is an equidigital number, since it uses as much as digits as its factorization.

13131002321101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145588.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13131002321101 its reverse (10112320013131), we get a palindrome (23243322334232).

The spelling of 13131002321101 in words is "thirteen trillion, one hundred thirty-one billion, two million, three hundred twenty-one thousand, one hundred one".

Divisors: 1 7 379 2653 54673 90529 382711 633703 20721067 34310491 145047469 240173437 4949492017 34646444119 1875857474443 13131002321101