113040124400 has 120 divisors (see below), whose sum is σ = 310477881120. Its totient is φ = 38743879680.

The previous prime is 113040124387. The next prime is 113040124409. The reversal of 113040124400 is 4421040311.

It is a super-3 number, since 3×113040124400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113040124409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13236932 + ... + 13245468.

It is an arithmetic number, because the mean of its divisors is an integer number (2587315676).

Almost surely, 2^113040124400 is an apocalyptic number.

113040124400 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 113040124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155238940560).

113040124400 is an abundant number, since it is smaller than the sum of its proper divisors (197437756720).

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

113040124400 is a wasteful number, since it uses less digits than its factorization.

113040124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291 (or 13280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 113040124400 its reverse (4421040311), we get a palindrome (117461164711).

The spelling of 113040124400 in words is "one hundred thirteen billion, forty million, one hundred twenty-four thousand, four hundred".