2621103006113 has 2 divisors, whose sum is σ = 2621103006114. Its totient is φ = 2621103006112.

The previous prime is 2621103006031. The next prime is 2621103006121. The reversal of 2621103006113 is 3116003011262.

2621103006113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1411505572624 + 1209597433489 = 1188068^2 + 1099817^2 .

It is a cyclic number.

It is not a de Polignac number, because 2621103006113 - 2¹⁰ = 2621103005089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2621103096113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1310551503056 + 1310551503057.

It is an arithmetic number, because the mean of its divisors is an integer number (1310551503057).

Almost surely, 2^{2621103006113} is an apocalyptic number.

It is an amenable number.

2621103006113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2621103006113 is an equidigital number, since it uses as much as digits as its factorization.

2621103006113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 2621103006113 its reverse (3116003011262), we get a palindrome (5737106017375).

The spelling of 2621103006113 in words is "two trillion, six hundred twenty-one billion, one hundred three million, six thousand, one hundred thirteen".