113313210313 has 2 divisors, whose sum is σ = 113313210314. Its totient is φ = 113313210312.

The previous prime is 113313210221. The next prime is 113313210323. The reversal of 113313210313 is 313012313311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61935281424 + 51377928889 = 248868^2 + 226667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113313210313 is a prime.

It is a super-3 number, since 3×113313210313³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (113313210323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656605156 + 56656605157.

It is an arithmetic number, because the mean of its divisors is an integer number (56656605157).

Almost surely, 2^113313210313 is an apocalyptic number.

It is an amenable number.

113313210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113313210313 is an equidigital number, since it uses as much as digits as its factorization.

113313210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 113313210313 its reverse (313012313311), we get a palindrome (426325523624).

The spelling of 113313210313 in words is "one hundred thirteen billion, three hundred thirteen million, two hundred ten thousand, three hundred thirteen".