113332323003000 has 256 divisors, whose sum is σ = 359346480330240. Its totient is φ = 29731718016000.

The previous prime is 113332323002909. The next prime is 113332323003013. The reversal of 113332323003000 is 300323233311.

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 63 ways as a sum of consecutive naturals, for example, 152590539 + ... + 153331461.

It is an arithmetic number, because the mean of its divisors is an integer number (1403697188790).

Almost surely, 2^{113332323003000} is an apocalyptic number.

113332323003000 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 113332323003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179673240165120).

113332323003000 is an abundant number, since it is smaller than the sum of its proper divisors (246014157327240).

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

113332323003000 is a wasteful number, since it uses less digits than its factorization.

113332323003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741775 (or 741761 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 113332323003000 its reverse (300323233311), we get a palindrome (113632646236311).

The spelling of 113332323003000 in words is "one hundred thirteen trillion, three hundred thirty-two billion, three hundred twenty-three million, three thousand".