113023310400 has 1008 divisors, whose sum is σ = 539429724288. Its totient is φ = 21676032000.

The previous prime is 113023310383. The next prime is 113023310441. The reversal of 113023310400 is 4013320311.

113023310400 is a `hidden beast` number, since 1 + 1 + 30 + 233 + 1 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14410480 + ... + 14418320.

It is an arithmetic number, because the mean of its divisors is an integer number (535148536).

Almost surely, 2^113023310400 is an apocalyptic number.

113023310400 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 113023310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269714862144).

113023310400 is an abundant number, since it is smaller than the sum of its proper divisors (426406413888).

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

113023310400 is a wasteful number, since it uses less digits than its factorization.

113023310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113023310400 its reverse (4013320311), we get a palindrome (117036630711).

The spelling of 113023310400 in words is "one hundred thirteen billion, twenty-three million, three hundred ten thousand, four hundred".