3003121331100 has 216 divisors, whose sum is σ = 10270398225360. Its totient is φ = 727920000000.

The previous prime is 3003121331071. The next prime is 3003121331107. The reversal of 3003121331100 is 11331213003.

It is a happy number.

3003121331100 is a `hidden beast` number, since 30 + 0 + 312 + 13 + 311 + 0 + 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 not an unprimeable number, because it can be changed into a prime (3003121331107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80062350 + ... + 80099850.

Almost surely, 2^{3003121331100} is an apocalyptic number.

3003121331100 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 3003121331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135199112680).

3003121331100 is an abundant number, since it is smaller than the sum of its proper divisors (7267276894260).

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

3003121331100 is a wasteful number, since it uses less digits than its factorization.

3003121331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45621 (or 45611 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3003121331100 its reverse (11331213003), we get a palindrome (3014452544103).

The spelling of 3003121331100 in words is "three trillion, three billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred".