SOURCE

// 身份证校验标准 ISO 7064:1983.MOD 11-2

function check(id) {
    let str = id.toString();   // 初始化, 转换为字符串
    // 7－9－10－5－8－4－2－1－6－3－7－9－10－5－8－4－2

    // 乘数
    let coef = [7, 9, 10, 5, 8, 4, 2, 1, 6, 3, 7, 9, 10, 5, 8, 4, 2];
    let sum = 0;

    for (i = 0; i < 17; i++) {
        sum += str[i] * coef[i];
    }

    let remainder = sum % 11;
    /*
        余数和身份证最后一位的对应规则
        0－1－2－3－4－5－6－7－8－9－10
        1－0－X－9－8－7－6－5－4－3－2
    */

    let validation = new Map([
        [0, "1"],
        [1, "0"],
        [2, "X"],
        [3, "9"],
        [4, "8"],
        [5, "7"],
        [6, "6"],
        [7, "5"],
        [8, "4"],
        [9, "3"],
        [10, "2"]
    ])

    return validation.get(remainder) == str[17];
}

let sample_real = 410901199704024012n;
let sample_fake = 410901199704024013n;
console.log(check(sample_fake));