3004013013101 has 2 divisors, whose sum is σ = 3004013013102. Its totient is φ = 3004013013100.

The previous prime is 3004013013047. The next prime is 3004013013103. The reversal of 3004013013101 is 1013103104003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2997728646025 + 6284367076 = 1731395^2 + 79274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3004013013101 is a prime.

Together with 3004013013103, 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 3004013013101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3004013013103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502006506550 + 1502006506551.

It is an arithmetic number, because the mean of its divisors is an integer number (1502006506551).

Almost surely, 2^{3004013013101} is an apocalyptic number.

It is an amenable number.

3004013013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004013013101 is an equidigital number, since it uses as much as digits as its factorization.

3004013013101 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 3004013013101 its reverse (1013103104003), we get a palindrome (4017116117104).

The spelling of 3004013013101 in words is "three trillion, four billion, thirteen million, thirteen thousand, one hundred one".