1003334520096 has 144 divisors (see below), whose sum is σ = 2889638388000. Its totient is φ = 330183168000.

The previous prime is 1003334520073. The next prime is 1003334520103. The reversal of 1003334520096 is 6900254333001.

It is a happy number.

1003334520096 is a `hidden beast` number, since 10 + 0 + 3 + 3 + 34 + 520 + 0 + 96 = 666.

1003334520096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1003334520096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35818096 + ... + 35846096.

It is an arithmetic number, because the mean of its divisors is an integer number (20066933250).

Almost surely, 2^{1003334520096} is an apocalyptic number.

1003334520096 is a gapful number since it is divisible by the number (16) 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 1003334520096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444819194000).

1003334520096 is an abundant number, since it is smaller than the sum of its proper divisors (1886303867904).

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

1003334520096 is a wasteful number, since it uses less digits than its factorization.

1003334520096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29599 (or 29588 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 1003334520096 its reverse (6900254333001), we get a palindrome (7903588853097).

The spelling of 1003334520096 in words is "one trillion, three billion, three hundred thirty-four million, five hundred twenty thousand, ninety-six".