113332313 has 2 divisors, whose sum is σ = 113332314. Its totient is φ = 113332312.

The previous prime is 113332279. The next prime is 113332337. The reversal of 113332313 is 313233311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81938704 + 31393609 = 9052^2 + 5603^2 .

It is an emirp because it is prime and its reverse (313233311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113332313 - 2²⁴ = 96555097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (113332393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56666156 + 56666157.

It is an arithmetic number, because the mean of its divisors is an integer number (56666157).

Almost surely, 2^113332313 is an apocalyptic number.

It is an amenable number.

113332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113332313 is an equidigital number, since it uses as much as digits as its factorization.

113332313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 20.

The square root of 113332313 is about 10645.7650265258. The cubic root of 113332313 is about 483.9322711616.

Adding to 113332313 its reverse (313233311), we get a palindrome (426565624).

The spelling of 113332313 in words is "one hundred thirteen million, three hundred thirty-two thousand, three hundred thirteen".