3002031132100 has 576 divisors, whose sum is σ = 9441835683840. Its totient is φ = 797661849600.

The previous prime is 3002031132019. The next prime is 3002031132101. The reversal of 3002031132100 is 12311302003.

It is not an unprimeable number, because it can be changed into a prime (3002031132101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66744219 + ... + 66789181.

It is an arithmetic number, because the mean of its divisors is an integer number (16392075840).

Almost surely, 2^{3002031132100} 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 3002031132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720917841920).

3002031132100 is an abundant number, since it is smaller than the sum of its proper divisors (6439804551740).

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

3002031132100 is a wasteful number, since it uses less digits than its factorization.

3002031132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45060 (or 45053 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3002031132100 its reverse (12311302003), we get a palindrome (3014342434103).

The spelling of 3002031132100 in words is "three trillion, two billion, thirty-one million, one hundred thirty-two thousand, one hundred".