3002103131020 has 192 divisors, whose sum is σ = 7478043955200. Its totient is φ = 990898541568.

The previous prime is 3002103131011. The next prime is 3002103131023. The reversal of 3002103131020 is 201313012003.

It is a junction number, because it is equal to n+sod(n) for n = 3002103130985 and 3002103131003.

It is not an unprimeable number, because it can be changed into a prime (3002103131023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1039868017 + ... + 1039870903.

It is an arithmetic number, because the mean of its divisors is an integer number (38948145600).

Almost surely, 2^{3002103131020} 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 3002103131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739021977600).

3002103131020 is an abundant number, since it is smaller than the sum of its proper divisors (4475940824180).

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

3002103131020 is a wasteful number, since it uses less digits than its factorization.

3002103131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4990 counting only the distinct ones).

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

Adding to 3002103131020 its reverse (201313012003), we get a palindrome (3203416143023).

The spelling of 3002103131020 in words is "three trillion, two billion, one hundred three million, one hundred thirty-one thousand, twenty".