1001003220330 has 128 divisors (see below), whose sum is σ = 2486513659392. Its totient is φ = 257705929728.

The previous prime is 1001003220299. The next prime is 1001003220359. The reversal of 1001003220330 is 330223001001.

1001003220330 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001003220330² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 138889587 + ... + 138896793.

It is an arithmetic number, because the mean of its divisors is an integer number (19425887964).

Almost surely, 2^{1001003220330} is an apocalyptic number.

1001003220330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001003220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243256829696).

1001003220330 is an abundant number, since it is smaller than the sum of its proper divisors (1485510439062).

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

1001003220330 is a wasteful number, since it uses less digits than its factorization.

1001003220330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1001003220330 its reverse (330223001001), we get a palindrome (1331226221331).

The spelling of 1001003220330 in words is "one trillion, one billion, three million, two hundred twenty thousand, three hundred thirty".