113300223240240 has 240 divisors, whose sum is σ = 386533766773440. Its totient is φ = 29737949644800.

The previous prime is 113300223240203. The next prime is 113300223240241. The reversal of 113300223240240 is 42042322003311.

113300223240240 is a `hidden beast` number, since 1 + 1 + 3 + 30 + 0 + 223 + 2 + 402 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (113300223240241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7070074 + ... + 16630886.

It is an arithmetic number, because the mean of its divisors is an integer number (1610557361556).

Almost surely, 2^{113300223240240} is an apocalyptic number.

113300223240240 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 113300223240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193266883386720).

113300223240240 is an abundant number, since it is smaller than the sum of its proper divisors (273233543533200).

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

113300223240240 is a wasteful number, since it uses less digits than its factorization.

113300223240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561092 (or 9561083 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 113300223240240 its reverse (42042322003311), we get a palindrome (155342545243551).

The spelling of 113300223240240 in words is "one hundred thirteen trillion, three hundred billion, two hundred twenty-three million, two hundred forty thousand, two hundred forty".