1001033201320 has 32 divisors (see below), whose sum is σ = 2384814393000. Its totient is φ = 376859557888.

The previous prime is 1001033201291. The next prime is 1001033201339. The reversal of 1001033201320 is 231023301001.

It can be written as a sum of positive squares in 4 ways, for example, as 995401299204 + 5631902116 = 997698^2 + 75046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001033201294 and 1001033201303.

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 7 ways as a sum of consecutive naturals, for example, 736053145 + ... + 736054504.

Almost surely, 2^{1001033201320} is an apocalyptic number.

1001033201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001033201320 is an abundant number, since it is smaller than the sum of its proper divisors (1383781191680).

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

1001033201320 is a wasteful number, since it uses less digits than its factorization.

1001033201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472107677 (or 1472107673 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1001033201320 its reverse (231023301001), we get a palindrome (1232056502321).

The spelling of 1001033201320 in words is "one trillion, one billion, thirty-three million, two hundred one thousand, three hundred twenty".