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12313202120113 is a prime number
BaseRepresentation
bin1011001100101110010000…
…0010011101010110110001
31121121010112020010022200011
42303023210002131112301
53103214414220320423
642104335034254521
72410412425060066
oct263134402352661
947533466108604
1012313202120113
113a17aaa657374
12146a46a587441
136b418c73a48b
14307d68260c6d
15165464658b0d
hexb32e409d5b1

12313202120113 has 2 divisors, whose sum is σ = 12313202120114. Its totient is φ = 12313202120112.

The previous prime is 12313202119957. The next prime is 12313202120119. The reversal of 12313202120113 is 31102120231321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12170490436129 + 142711683984 = 3488623^2 + 377772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12313202120113 is a prime.

It is a super-2 number, since 2×123132021201132 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12313202120119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156601060056 + 6156601060057.

It is an arithmetic number, because the mean of its divisors is an integer number (6156601060057).

Almost surely, 212313202120113 is an apocalyptic number.

It is an amenable number.

12313202120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313202120113 is an equidigital number, since it uses as much as digits as its factorization.

12313202120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12313202120113 its reverse (31102120231321), we get a palindrome (43415322351434).

The spelling of 12313202120113 in words is "twelve trillion, three hundred thirteen billion, two hundred two million, one hundred twenty thousand, one hundred thirteen".