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131241423313 = 71113621721089
BaseRepresentation
bin111101000111010011…
…0010011000111010001
3110112202102220002021001
41322032212103013101
54122240301021223
6140142543102001
712324166456210
oct1721646230721
9415672802231
10131241423313
11507283a8910
12215285a1901
13c4b7140640
1464d02dd077
153631d329ad
hex1e8e9931d1

131241423313 has 32 divisors (see below), whose sum is σ = 176248961280. Its totient is φ = 94379765760.

The previous prime is 131241423301. The next prime is 131241423319. The reversal of 131241423313 is 313324142131.

It is not a de Polignac number, because 131241423313 - 221 = 131239326161 is a prime.

It is a super-2 number, since 2×1312414233132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131241423319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6212673 + ... + 6233761.

It is an arithmetic number, because the mean of its divisors is an integer number (5507780040).

Almost surely, 2131241423313 is an apocalyptic number.

131241423313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131241423313 is a deficient number, since it is larger than the sum of its proper divisors (45007537967).

131241423313 is a wasteful number, since it uses less digits than its factorization.

131241423313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27337.

The product of its digits is 5184, while the sum is 28.

Adding to 131241423313 its reverse (313324142131), we get a palindrome (444565565444).

The spelling of 131241423313 in words is "one hundred thirty-one billion, two hundred forty-one million, four hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 7 11 13 77 91 143 1001 6217 21089 43519 68387 80821 147623 231979 274157 478709 565747 889031 1623853 1919099 3015727 6223217 21110089 131110313 917772191 1442213443 1704434069 10095494101 11931038483 18748774759 131241423313