113413000 has 64 divisors (see below), whose sum is σ = 276981120. Its totient is φ = 43384000.

The previous prime is 113412961. The next prime is 113413009. The reversal of 113413000 is 314311.

It is not an unprimeable number, because it can be changed into a prime (113413009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20535 + ... + 25465.

It is an arithmetic number, because the mean of its divisors is an integer number (4327830).

Almost surely, 2^113413000 is an apocalyptic number.

113413000 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 113413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138490560).

113413000 is an abundant number, since it is smaller than the sum of its proper divisors (163568120).

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

113413000 is a wasteful number, since it uses less digits than its factorization.

113413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 113413000 is about 10649.5539812708. The cubic root of 113413000 is about 484.0470891962.

Adding to 113413000 its reverse (314311), we get a palindrome (113727311).

It can be divided in two parts, 11341 and 3000, that added together give a palindrome (14341).

The spelling of 113413000 in words is "one hundred thirteen million, four hundred thirteen thousand".