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131321302101 = 321119531317257
BaseRepresentation
bin111101001001101011…
…1000000110001010101
3110112222000012100100200
41322103113000301111
54122421223131401
6140154515131113
712326156436033
oct1722327006125
9415860170320
10131321302101
11507694a6a40
122154b2a3a99
13c4ca85a7b2
1464dab73553
153638d60686
hex1e935c0c55

131321302101 has 48 divisors (see below), whose sum is σ = 221931627840. Its totient is φ = 73977096960.

The previous prime is 131321302087. The next prime is 131321302183. The reversal of 131321302101 is 101203123131.

131321302101 is a `hidden beast` number, since 1 + 31 + 321 + 302 + 10 + 1 = 666.

It is not a de Polignac number, because 131321302101 - 26 = 131321302037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321302001) 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, 558936 + ... + 758321.

It is an arithmetic number, because the mean of its divisors is an integer number (4623575580).

Almost surely, 2131321302101 is an apocalyptic number.

131321302101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131321302101 is a deficient number, since it is larger than the sum of its proper divisors (90610325739).

131321302101 is a wasteful number, since it uses less digits than its factorization.

131321302101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317346 (or 1317343 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131321302101 its reverse (101203123131), we get a palindrome (232524425232).

The spelling of 131321302101 in words is "one hundred thirty-one billion, three hundred twenty-one million, three hundred two thousand, one hundred one".

Divisors: 1 3 9 11 19 33 53 57 99 159 171 209 477 583 627 1007 1749 1881 3021 5247 9063 11077 33231 99693 1317257 3951771 11855313 14489827 25027883 43469481 69814621 75083649 130408443 209443863 225250947 275306713 628331589 767960831 825920139 1326477799 2303882493 2477760417 3979433397 6911647479 11938300191 14591255789 43773767367 131321302101