113217006320 has 160 divisors (see below), whose sum is σ = 290606400000. Its totient is φ = 40678640640.

The previous prime is 113217006233. The next prime is 113217006347. The reversal of 113217006320 is 23600712311.

It is a self number, because there is not a number n which added to its sum of digits gives 113217006320.

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 31 ways as a sum of consecutive naturals, for example, 26090711 + ... + 26095049.

It is an arithmetic number, because the mean of its divisors is an integer number (1816290000).

Almost surely, 2^113217006320 is an apocalyptic number.

113217006320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113217006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303200000).

113217006320 is an abundant number, since it is smaller than the sum of its proper divisors (177389393680).

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

113217006320 is a wasteful number, since it uses less digits than its factorization.

113217006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 113217006320 its reverse (23600712311), we get a palindrome (136817718631).

The spelling of 113217006320 in words is "one hundred thirteen billion, two hundred seventeen million, six thousand, three hundred twenty".