113210020313 has 24 divisors (see below), whose sum is σ = 123774184512. Its totient is φ = 103495424448.

The previous prime is 113210020291. The next prime is 113210020349. The reversal of 113210020313 is 313020012311.

It is not a de Polignac number, because 113210020313 - 2³⁶ = 44490543577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113210020291 and 113210020300.

It is not an unprimeable number, because it can be changed into a prime (113210020373) 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 23 ways as a sum of consecutive naturals, for example, 7681970 + ... + 7696692.

It is an arithmetic number, because the mean of its divisors is an integer number (5157257688).

Almost surely, 2^113210020313 is an apocalyptic number.

113210020313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113210020313 is a deficient number, since it is larger than the sum of its proper divisors (10564164199).

113210020313 is a wasteful number, since it uses less digits than its factorization.

113210020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15185 (or 15172 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 113210020313 its reverse (313020012311), we get a palindrome (426230032624).

The spelling of 113210020313 in words is "one hundred thirteen billion, two hundred ten million, twenty thousand, three hundred thirteen".