1001003020 has 48 divisors (see below), whose sum is σ = 2220438528. Its totient is φ = 378463680.

The previous prime is 1001002999. The next prime is 1001003023. The reversal of 1001003020 is 203001001.

It is a junction number, because it is equal to n+sod(n) for n = 1001002994 and 1001003012.

It is not an unprimeable number, because it can be changed into a prime (1001003023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7887 + ... + 45433.

It is an arithmetic number, because the mean of its divisors is an integer number (46259136).

Almost surely, 2^1001003020 is an apocalyptic number.

1001003020 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 1001003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110219264).

1001003020 is an abundant number, since it is smaller than the sum of its proper divisors (1219435508).

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

1001003020 is a wasteful number, since it uses less digits than its factorization.

1001003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37630 (or 37628 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1001003020 is about 31638.6317656121. The cubic root of 1001003020 is about 1000.3342282790.

Adding to 1001003020 its reverse (203001001), we get a palindrome (1204004021).

The spelling of 1001003020 in words is "one billion, one million, three thousand, twenty".