10121034013 has 2 divisors, whose sum is σ = 10121034014. Its totient is φ = 10121034012.

The previous prime is 10121033953. The next prime is 10121034041. The reversal of 10121034013 is 31043012101.

10121034013 is digitally balanced in base 2, 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., 9603608004 + 517426009 = 97998^2 + 22747^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121034013 - 2⁹ = 10121033501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121034073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060517006 + 5060517007.

It is an arithmetic number, because the mean of its divisors is an integer number (5060517007).

Almost surely, 2^10121034013 is an apocalyptic number.

It is an amenable number.

10121034013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121034013 is an equidigital number, since it uses as much as digits as its factorization.

10121034013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10121034013 its reverse (31043012101), we get a palindrome (41164046114).

The spelling of 10121034013 in words is "ten billion, one hundred twenty-one million, thirty-four thousand, thirteen".