113200324040400 has 480 divisors, whose sum is σ = 383153766589440. Its totient is φ = 28489427619840.

The previous prime is 113200324040399. The next prime is 113200324040483. The reversal of 113200324040400 is 4040423002311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18639931764 + ... + 18639937836.

It is an arithmetic number, because the mean of its divisors is an integer number (798237013728).

Almost surely, 2^{113200324040400} is an apocalyptic number.

113200324040400 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 113200324040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191576883294720).

113200324040400 is an abundant number, since it is smaller than the sum of its proper divisors (269953442549040).

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

113200324040400 is a wasteful number, since it uses less digits than its factorization.

113200324040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 113200324040400 its reverse (4040423002311), we get a palindrome (117240747042711).

The spelling of 113200324040400 in words is "one hundred thirteen trillion, two hundred billion, three hundred twenty-four million, forty thousand, four hundred".