1003013022000 has 1280 divisors, whose sum is σ = 3866368536576. Its totient is φ = 220979200000.

The previous prime is 1003013021977. The next prime is 1003013022023. The reversal of 1003013022000 is 2203103001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1003013021977) and next prime (1003013022023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6006065917 + ... + 6006066083.

Almost surely, 2^{1003013022000} is an apocalyptic number.

1003013022000 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 1003013022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933184268288).

1003013022000 is an abundant number, since it is smaller than the sum of its proper divisors (2863355514576).

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

1003013022000 is a wasteful number, since it uses less digits than its factorization.

1003013022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1003013022000 its reverse (2203103001), we get a palindrome (1005216125001).

The spelling of 1003013022000 in words is "one trillion, three billion, thirteen million, twenty-two thousand".