113203200 has 288 divisors, whose sum is σ = 414348480. Its totient is φ = 27033600.

The previous prime is 113203199. The next prime is 113203231. The reversal of 113203200 is 2302311.

It is a happy number.

It is a super-4 number, since 4×113203200⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1689567 + ... + 1689633.

It is an arithmetic number, because the mean of its divisors is an integer number (1438710).

Almost surely, 2^113203200 is an apocalyptic number.

113203200 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 113203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

113203200 is an abundant number, since it is smaller than the sum of its proper divisors (301145280).

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

113203200 is a wasteful number, since it uses less digits than its factorization.

113203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 113203200 is about 10639.6992438696. The cubic root of 113203200 is about 483.7484292426.

Adding to 113203200 its reverse (2302311), we get a palindrome (115505511).

The spelling of 113203200 in words is "one hundred thirteen million, two hundred three thousand, two hundred".