113141000 has 96 divisors (see below), whose sum is σ = 308107800. Its totient is φ = 38774400.

The previous prime is 113140969. The next prime is 113141003. The reversal of 113141000 is 141311.

It can be written as a sum of positive squares in 4 ways, for example, as 53202436 + 59938564 = 7294^2 + 7742^2 .

It is not an unprimeable number, because it can be changed into a prime (113141003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47846 + ... + 50154.

Almost surely, 2^113141000 is an apocalyptic number.

113141000 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 113141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154053900).

113141000 is an abundant number, since it is smaller than the sum of its proper divisors (194966800).

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

113141000 is a wasteful number, since it uses less digits than its factorization.

113141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 113141000 is about 10636.7758272890. The cubic root of 113141000 is about 483.6598137710.

Adding to 113141000 its reverse (141311), we get a palindrome (113282311).

The spelling of 113141000 in words is "one hundred thirteen million, one hundred forty-one thousand".