3002131320101 has 2 divisors, whose sum is σ = 3002131320102. Its totient is φ = 3002131320100.

The previous prime is 3002131320037. The next prime is 3002131320103. The reversal of 3002131320101 is 1010231312003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2820014904100 + 182116416001 = 1679290^2 + 426751^2 .

It is a cyclic number.

It is not a de Polignac number, because 3002131320101 - 2⁶ = 3002131320037 is a prime.

Together with 3002131320103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3002131320101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3002131320103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501065660050 + 1501065660051.

It is an arithmetic number, because the mean of its divisors is an integer number (1501065660051).

Almost surely, 2^{3002131320101} is an apocalyptic number.

It is an amenable number.

3002131320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002131320101 is an equidigital number, since it uses as much as digits as its factorization.

3002131320101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3002131320101 its reverse (1010231312003), we get a palindrome (4012362632104).

The spelling of 3002131320101 in words is "three trillion, two billion, one hundred thirty-one million, three hundred twenty thousand, one hundred one".