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113302313 is a prime number

113302313 has 2 divisors, whose sum is σ = 113302314. Its totient is φ = 113302312.

The previous prime is 113302309. The next prime is 113302327. The reversal of 113302313 is 313203311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76965529 + 36336784 = 8773^2 + 6028^2 .

It is an emirp because it is prime and its reverse (313203311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113302313 - 22 = 113302309 is a prime.

It is a super-2 number, since 2×1133023132 = 25674828262299938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113302291 and 113302300.

It is not a weakly prime, because it can be changed into another prime (113302363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56651156 + 56651157.

It is an arithmetic number, because the mean of its divisors is an integer number (56651157).

Almost surely, 2113302313 is an apocalyptic number.

It is an amenable number.

113302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113302313 is an equidigital number, since it uses as much as digits as its factorization.

113302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 113302313 is about 10644.3559222717. The cubic root of 113302313 is about 483.8895671026.

Adding to 113302313 its reverse (313203311), we get a palindrome (426505624).

The spelling of 113302313 in words is "one hundred thirteen million, three hundred two thousand, three hundred thirteen".