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131312257 is a prime number
BaseRepresentation
bin1111101001110…
…10101010000001
3100011002100112221
413310322222001
5232103443012
621010251041
73153064366
oct764725201
9304070487
10131312257
116813892a
1237b86a81
1321287b7b
141362246d
15b7dc507
hex7d3aa81

131312257 has 2 divisors, whose sum is σ = 131312258. Its totient is φ = 131312256.

The previous prime is 131312243. The next prime is 131312281. The reversal of 131312257 is 752213131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118287376 + 13024881 = 10876^2 + 3609^2 .

It is a cyclic number.

It is not a de Polignac number, because 131312257 - 211 = 131310209 is a prime.

It is not a weakly prime, because it can be changed into another prime (131312227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656128 + 65656129.

It is an arithmetic number, because the mean of its divisors is an integer number (65656129).

Almost surely, 2131312257 is an apocalyptic number.

It is an amenable number.

131312257 is a deficient number, since it is larger than the sum of its proper divisors (1).

131312257 is an equidigital number, since it uses as much as digits as its factorization.

131312257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 25.

The square root of 131312257 is about 11459.1560334957. The cubic root of 131312257 is about 508.2785184526.

Adding to 131312257 its reverse (752213131), we get a palindrome (883525388).

The spelling of 131312257 in words is "one hundred thirty-one million, three hundred twelve thousand, two hundred fifty-seven".