113201323104 has 96 divisors (see below), whose sum is σ = 307345812480. Its totient is φ = 36444326400.

The previous prime is 113201323093. The next prime is 113201323117. The reversal of 113201323104 is 401323102311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×113201323104³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1477419 + ... + 1552149.

It is an arithmetic number, because the mean of its divisors is an integer number (3201518880).

Almost surely, 2^113201323104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113201323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153672906240).

113201323104 is an abundant number, since it is smaller than the sum of its proper divisors (194144489376).

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

113201323104 is a wasteful number, since it uses less digits than its factorization.

113201323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75284 (or 75276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113201323104 its reverse (401323102311), we get a palindrome (514524425415).

The spelling of 113201323104 in words is "one hundred thirteen billion, two hundred one million, three hundred twenty-three thousand, one hundred four".