1003000213000 has 64 divisors (see below), whose sum is σ = 2349101991600. Its totient is φ = 400844275200.

The previous prime is 1003000212979. The next prime is 1003000213037. The reversal of 1003000213000 is 3120003001.

It can be written as a sum of positive squares in 8 ways, for example, as 71555180004 + 931445032996 = 267498^2 + 965114^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 684802 + ... + 1573198.

Almost surely, 2^{1003000213000} is an apocalyptic number.

1003000213000 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 1003000213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174550995800).

1003000213000 is an abundant number, since it is smaller than the sum of its proper divisors (1346101778600).

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

1003000213000 is a wasteful number, since it uses less digits than its factorization.

1003000213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889547 (or 889533 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1003000213000 its reverse (3120003001), we get a palindrome (1006120216001).

The spelling of 1003000213000 in words is "one trillion, three billion, two hundred thirteen thousand".