3002131300212 has 384 divisors, whose sum is σ = 9170316288000. Its totient is φ = 839240663040.

The previous prime is 3002131300141. The next prime is 3002131300261. The reversal of 3002131300212 is 2120031312003.

3002131300212 is a `hidden beast` number, since 300 + 21 + 3 + 130 + 0 + 212 = 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 127 ways as a sum of consecutive naturals, for example, 221765508 + ... + 221779044.

It is an arithmetic number, because the mean of its divisors is an integer number (23881032000).

Almost surely, 2^{3002131300212} 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 3002131300212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585158144000).

3002131300212 is an abundant number, since it is smaller than the sum of its proper divisors (6168184987788).

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

3002131300212 is a wasteful number, since it uses less digits than its factorization.

3002131300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13796 (or 13788 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3002131300212 its reverse (2120031312003), we get a palindrome (5122162612215).

The spelling of 3002131300212 in words is "three trillion, two billion, one hundred thirty-one million, three hundred thousand, two hundred twelve".