113115182080 has 352 divisors, whose sum is σ = 304740001440. Its totient is φ = 40076574720.

The previous prime is 113115182057. The next prime is 113115182099. The reversal of 113115182080 is 80281511311.

It can be written as a sum of positive squares in 16 ways, for example, as 7120659456 + 105994522624 = 84384^2 + 325568^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103490014 + ... + 103491106.

Almost surely, 2^113115182080 is an apocalyptic number.

113115182080 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 113115182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152370000720).

113115182080 is an abundant number, since it is smaller than the sum of its proper divisors (191624819360).

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

113115182080 is a wasteful number, since it uses less digits than its factorization.

113115182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 31.

Adding to 113115182080 its reverse (80281511311), we get a palindrome (193396693391).

The spelling of 113115182080 in words is "one hundred thirteen billion, one hundred fifteen million, one hundred eighty-two thousand, eighty".