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131213 is a prime number
BaseRepresentation
bin100000000010001101
320122222202
4200002031
513144323
62451245
71054355
oct400215
9218882
10131213
118a645
1263b25
1347954
1435b65
1528d28
hex2008d

131213 has 2 divisors, whose sum is σ = 131214. Its totient is φ = 131212.

The previous prime is 131203. The next prime is 131221. The reversal of 131213 is 312131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131044 + 169 = 362^2 + 13^2 .

It is a cyclic number.

It is not a de Polignac number, because 131213 - 26 = 131149 is a prime.

It is equal to p12260 and since 131213 and 12260 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 131194 and 131203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65606 + 65607.

It is an arithmetic number, because the mean of its divisors is an integer number (65607).

2131213 is an apocalyptic number.

It is an amenable number.

131213 is a deficient number, since it is larger than the sum of its proper divisors (1).

131213 is an equidigital number, since it uses as much as digits as its factorization.

131213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18, while the sum is 11.

The square root of 131213 is about 362.2333502040. The cubic root of 131213 is about 50.8150419424.

Adding to 131213 its reverse (312131), we get a palindrome (443344).

The spelling of 131213 in words is "one hundred thirty-one thousand, two hundred thirteen".