113541120 has 384 divisors, whose sum is σ = 490726080. Its totient is φ = 23592960.

The previous prime is 113541107. The next prime is 113541137. The reversal of 113541120 is 21145311.

113541120 is a `hidden beast` number, since 1 + 1 + 3 + 541 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 113541093 and 113541102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10321915 + ... + 10321925.

Almost surely, 2^113541120 is an apocalyptic number.

113541120 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 113541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245363040).

113541120 is an abundant number, since it is smaller than the sum of its proper divisors (377184960).

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

113541120 is an equidigital number, since it uses as much as digits as its factorization.

113541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113541120 is about 10655.5675587929. The cubic root of 113541120 is about 484.2292928090.

Adding to 113541120 its reverse (21145311), we get a palindrome (134686431).

The spelling of 113541120 in words is "one hundred thirteen million, five hundred forty-one thousand, one hundred twenty".