3002131320001 has 96 divisors (see below), whose sum is σ = 3562122009600. Its totient is φ = 2508043046400.

The previous prime is 3002131319947. The next prime is 3002131320037. The reversal of 3002131320001 is 1000231312003.

It is not a de Polignac number, because 3002131320001 - 2⁹ = 3002131319489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3002131320101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8048609251 + ... + 8048609623.

It is an arithmetic number, because the mean of its divisors is an integer number (37105437600).

Almost surely, 2^{3002131320001} is an apocalyptic number.

It is an amenable number.

3002131320001 is a deficient number, since it is larger than the sum of its proper divisors (559990689599).

3002131320001 is a wasteful number, since it uses less digits than its factorization.

3002131320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 836 counting only the distinct ones).

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

Adding to 3002131320001 its reverse (1000231312003), we get a palindrome (4002362632004).

The spelling of 3002131320001 in words is "three trillion, two billion, one hundred thirty-one million, three hundred twenty thousand, one".