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131321331310 = 25136129356519
BaseRepresentation
bin111101001001101011…
…1000111111001101110
3110112222000020211102111
41322103113013321232
54122421230100220
6140154515514234
712326156620141
oct1722327077156
9415860224374
10131321331310
1150769516984
122154b2b897a
13c4ca86ab90
1464dab80058
153638d6915a
hex1e935c7e6e

131321331310 has 64 divisors (see below), whose sum is σ = 259622133120. Its totient is φ = 47529377280.

The previous prime is 131321331289. The next prime is 131321331319. The reversal of 131321331310 is 13133123131.

It is a super-2 number, since 2×1313213313102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321331319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295231 + ... + 2351749.

It is an arithmetic number, because the mean of its divisors is an integer number (4056595830).

Almost surely, 2131321331310 is an apocalyptic number.

131321331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131321331310 is a deficient number, since it is larger than the sum of its proper divisors (128300801810).

131321331310 is a wasteful number, since it uses less digits than its factorization.

131321331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56893.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131321331310 its reverse (13133123131), we get a palindrome (144454454441).

The spelling of 131321331310 in words is "one hundred thirty-one billion, three hundred twenty-one million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 10 13 26 61 65 122 130 293 305 586 610 793 1465 1586 2930 3809 3965 7618 7930 17873 19045 35746 38090 56519 89365 113038 178730 232349 282595 464698 565190 734747 1161745 1469494 2323490 3447659 3673735 6895318 7347470 16560067 17238295 33120134 34476590 44819567 82800335 89639134 165600670 215280871 224097835 430561742 448195670 1010164087 1076404355 2020328174 2152808710 5050820435 10101640870 13132133131 26264266262 65660665655 131321331310