113003124432000 has 512 divisors, whose sum is σ = 409445763667200. Its totient is φ = 27342049280000.

The previous prime is 113003124431993. The next prime is 113003124432061. The reversal of 113003124432000 is 234421300311.

It is a happy number.

It is a super-2 number, since 2×113003124432000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274882606 + ... + 275293394.

Almost surely, 2^{113003124432000} is an apocalyptic number.

113003124432000 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 113003124432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204722881833600).

113003124432000 is an abundant number, since it is smaller than the sum of its proper divisors (296442639235200).

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

113003124432000 is a wasteful number, since it uses less digits than its factorization.

113003124432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411353 (or 411331 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113003124432000 its reverse (234421300311), we get a palindrome (113237545732311).

The spelling of 113003124432000 in words is "one hundred thirteen trillion, three billion, one hundred twenty-four million, four hundred thirty-two thousand".