113201088 has 448 divisors, whose sum is σ = 436961280. Its totient is φ = 24883200.

The previous prime is 113201083. The next prime is 113201141. The reversal of 113201088 is 880102311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113201083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651633 + ... + 3651663.

It is an arithmetic number, because the mean of its divisors is an integer number (975360).

Almost surely, 2^113201088 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 113201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218480640).

113201088 is an abundant number, since it is smaller than the sum of its proper divisors (323760192).

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

113201088 is a wasteful number, since it uses less digits than its factorization.

113201088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 113201088 is about 10639.5999924809. The cubic root of 113201088 is about 483.7454208381.

Adding to 113201088 its reverse (880102311), we get a palindrome (993303399).

The spelling of 113201088 in words is "one hundred thirteen million, two hundred one thousand, eighty-eight".