Search a number
-
+
131201321132013 = 3116165177010001
BaseRepresentation
bin11101110101001110110000…
…001000111101111111101101
3122012112201112122122212011120
4131311032300020331333231
5114144100301202211023
61143013015503011153
736430661021640366
oct3565166010757755
9565481478585146
10131201321132013
1138894193405360
121286b840b99ab9
1358293017965c2
14245826bd48b6d
151027caa24a8e3
hex7753b023dfed

131201321132013 has 16 divisors (see below), whose sum is σ = 193966781765952. Its totient is φ = 78212412000000.

The previous prime is 131201321131981. The next prime is 131201321132017. The reversal of 131201321132013 is 310231123102131.

It is not a de Polignac number, because 131201321132013 - 25 = 131201321131981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201321132017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32588502988 + ... + 32588507013.

It is an arithmetic number, because the mean of its divisors is an integer number (12122923860372).

Almost surely, 2131201321132013 is an apocalyptic number.

It is an amenable number.

131201321132013 is a deficient number, since it is larger than the sum of its proper divisors (62765460633939).

131201321132013 is a wasteful number, since it uses less digits than its factorization.

131201321132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65177010076.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131201321132013 its reverse (310231123102131), we get a palindrome (441432444234144).

The spelling of 131201321132013 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred twenty-one million, one hundred thirty-two thousand, thirteen".

Divisors: 1 3 11 33 61 183 671 2013 65177010001 195531030003 716947110011 2150841330033 3975797610061 11927392830183 43733773710671 131201321132013