1002030200320 has 160 divisors (see below), whose sum is σ = 2558080245600. Its totient is φ = 375124525056.

The previous prime is 1002030200317. The next prime is 1002030200351. The reversal of 1002030200320 is 230020302001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1002030200320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7725766 + ... + 7854394.

It is an arithmetic number, because the mean of its divisors is an integer number (15988001535).

Almost surely, 2^{1002030200320} is an apocalyptic number.

1002030200320 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 1002030200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279040122800).

1002030200320 is an abundant number, since it is smaller than the sum of its proper divisors (1556050045280).

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

1002030200320 is a wasteful number, since it uses less digits than its factorization.

1002030200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128848 (or 128832 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 1002030200320 its reverse (230020302001), we get a palindrome (1232050502321).

The spelling of 1002030200320 in words is "one trillion, two billion, thirty million, two hundred thousand, three hundred twenty".