3003323213100 has 144 divisors (see below), whose sum is σ = 9938654663168. Its totient is φ = 685943976960.

The previous prime is 3003323213081. The next prime is 3003323213123. The reversal of 3003323213100 is 13123233003.

It is a super-2 number, since 2×3003323213100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2172369 + ... + 3275031.

Almost surely, 2^{3003323213100} is an apocalyptic number.

3003323213100 is a gapful number since it is divisible by the number (30) 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 3003323213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969327331584).

3003323213100 is an abundant number, since it is smaller than the sum of its proper divisors (6935331450068).

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

3003323213100 is a wasteful number, since it uses less digits than its factorization.

3003323213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103984 (or 1103977 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3003323213100 its reverse (13123233003), we get a palindrome (3016446446103).

The spelling of 3003323213100 in words is "three trillion, three billion, three hundred twenty-three million, two hundred thirteen thousand, one hundred".