113311300320 has 72 divisors (see below), whose sum is σ = 386674817256. Its totient is φ = 30216346368.

The previous prime is 113311300309. The next prime is 113311300327. The reversal of 113311300320 is 23003113311.

It is a happy number.

113311300320 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 30 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113311300293 and 113311300302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113311300327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39342762 + ... + 39345641.

It is an arithmetic number, because the mean of its divisors is an integer number (5370483573).

Almost surely, 2^113311300320 is an apocalyptic number.

113311300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113311300320 is an abundant number, since it is smaller than the sum of its proper divisors (273363516936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113311300320 is a wasteful number, since it uses less digits than its factorization.

113311300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78688424 (or 78688413 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113311300320 its reverse (23003113311), we get a palindrome (136314413631).

The spelling of 113311300320 in words is "one hundred thirteen billion, three hundred eleven million, three hundred thousand, three hundred twenty".