113009041152 has 864 divisors, whose sum is σ = 416347102080. Its totient is φ = 28736225280.

The previous prime is 113009041121. The next prime is 113009041153. The reversal of 113009041152 is 251140900311.

It is a happy number.

113009041152 is a `hidden beast` number, since 113 + 0 + 0 + 90 + 411 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113009041153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485017228 + ... + 485017460.

It is an arithmetic number, because the mean of its divisors is an integer number (481883220).

Almost surely, 2^113009041152 is an apocalyptic number.

113009041152 is a gapful number since it is divisible by the number (12) 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 113009041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208173551040).

113009041152 is an abundant number, since it is smaller than the sum of its proper divisors (303338060928).

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

113009041152 is a wasteful number, since it uses less digits than its factorization.

113009041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 113009041152 its reverse (251140900311), we get a palindrome (364149941463).

The spelling of 113009041152 in words is "one hundred thirteen billion, nine million, forty-one thousand, one hundred fifty-two".