113203000313 has 16 divisors (see below), whose sum is σ = 125725468176. Its totient is φ = 101248911360.

The previous prime is 113203000303. The next prime is 113203000327. The reversal of 113203000313 is 313000302311.

It can be written as a sum of positive squares in 8 ways, for example, as 1949399104 + 111253601209 = 44152^2 + 333547^2 .

It is a cyclic number.

It is not a de Polignac number, because 113203000313 - 2⁶ = 113203000249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113203000291 and 113203000300.

It is not an unprimeable number, because it can be changed into a prime (113203000303) 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 in 15 ways as a sum of consecutive naturals, for example, 372356 + ... + 604197.

It is an arithmetic number, because the mean of its divisors is an integer number (7857841761).

Almost surely, 2^113203000313 is an apocalyptic number.

113203000313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113203000313 is a deficient number, since it is larger than the sum of its proper divisors (12522467863).

113203000313 is a wasteful number, since it uses less digits than its factorization.

113203000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976844.

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

Adding to 113203000313 its reverse (313000302311), we get a palindrome (426203302624).

The spelling of 113203000313 in words is "one hundred thirteen billion, two hundred three million, three hundred thirteen", and thus it is an aban number.