3003121131332 has 96 divisors (see below), whose sum is σ = 6414805248768. Its totient is φ = 1200858845184.

The previous prime is 3003121131323. The next prime is 3003121131337. The reversal of 3003121131332 is 2331311213003.

It is a junction number, because it is equal to n+sod(n) for n = 3003121131298 and 3003121131307.

It is not an unprimeable number, because it can be changed into a prime (3003121131337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28522208 + ... + 28627304.

It is an arithmetic number, because the mean of its divisors is an integer number (66820888008).

Almost surely, 2^{3003121131332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003121131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207402624384).

3003121131332 is an abundant number, since it is smaller than the sum of its proper divisors (3411684117436).

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

3003121131332 is a wasteful number, since it uses less digits than its factorization.

3003121131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105645 (or 105643 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 3003121131332 its reverse (2331311213003), we get a palindrome (5334432344335).

The spelling of 3003121131332 in words is "three trillion, three billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty-two".