113315200 has 96 divisors (see below), whose sum is σ = 296532360. Its totient is φ = 42639360.

The previous prime is 113315171. The next prime is 113315207. The reversal of 113315200 is 2513311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113315207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53359 + ... + 55441.

Almost surely, 2^113315200 is an apocalyptic number.

113315200 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 113315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148266180).

113315200 is an abundant number, since it is smaller than the sum of its proper divisors (183217160).

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

113315200 is a wasteful number, since it uses less digits than its factorization.

113315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 113315200 is about 10644.9612493423. The cubic root of 113315200 is about 483.9079122664.

Adding to 113315200 its reverse (2513311), we get a palindrome (115828511).

It can be divided in two parts, 1 and 13315200, that added together give a square (13315201 = 3649²).

The spelling of 113315200 in words is "one hundred thirteen million, three hundred fifteen thousand, two hundred".