1003313220000 has 720 divisors, whose sum is σ = 4123033481952. Its totient is φ = 211680000000.

The previous prime is 1003313219969. The next prime is 1003313220001. The reversal of 1003313220000 is 223133001.

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

It is not an unprimeable number, because it can be changed into a prime (1003313220001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38206875 + ... + 38233125.

Almost surely, 2^{1003313220000} is an apocalyptic number.

1003313220000 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 1003313220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061516740976).

1003313220000 is an abundant number, since it is smaller than the sum of its proper divisors (3119720261952).

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

1003313220000 is a wasteful number, since it uses less digits than its factorization.

1003313220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26311 (or 26281 counting only the distinct ones).

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

Adding to 1003313220000 its reverse (223133001), we get a palindrome (1003536353001).

The spelling of 1003313220000 in words is "one trillion, three billion, three hundred thirteen million, two hundred twenty thousand".