1003313223000 has 448 divisors, whose sum is σ = 3840051589920. Its totient is φ = 243225504000.

The previous prime is 1003313222971. The next prime is 1003313223019. The reversal of 1003313223000 is 3223133001.

1003313223000 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 32 + 2 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7956442 + ... + 8081558.

Almost surely, 2^{1003313223000} is an apocalyptic number.

1003313223000 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 1003313223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920025794960).

1003313223000 is an abundant number, since it is smaller than the sum of its proper divisors (2836738366920).

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

1003313223000 is a wasteful number, since it uses less digits than its factorization.

1003313223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125167 (or 125138 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1003313223000 its reverse (3223133001), we get a palindrome (1006536356001).

The spelling of 1003313223000 in words is "one trillion, three billion, three hundred thirteen million, two hundred twenty-three thousand".