113331003002000 has 160 divisors (see below), whose sum is σ = 313383078627840. Its totient is φ = 38831412518400.

The previous prime is 113331003001991. The next prime is 113331003002003. The reversal of 113331003002000 is 200300133311.

113331003002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 113331003002000.

It is not an unprimeable number, because it can be changed into a prime (113331003002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19229762 + ... + 24422238.

It is an arithmetic number, because the mean of its divisors is an integer number (1958644241424).

Almost surely, 2^{113331003002000} is an apocalyptic number.

113331003002000 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 113331003002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156691539313920).

113331003002000 is an abundant number, since it is smaller than the sum of its proper divisors (200052075625840).

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

113331003002000 is a wasteful number, since it uses less digits than its factorization.

113331003002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194066 (or 5194050 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 113331003002000 its reverse (200300133311), we get a palindrome (113531303135311).

The spelling of 113331003002000 in words is "one hundred thirteen trillion, three hundred thirty-one billion, three million, two thousand".