1010101000013 has 16 divisors (see below), whose sum is σ = 1217187840000. Its totient is φ = 818862990192.

The previous prime is 1010101000003. The next prime is 1010101000049. The reversal of 1010101000013 is 3100001010101.

It is a cyclic number.

It is not a de Polignac number, because 1010101000013 - 2⁴ = 1010100999997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101000003) 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 15 ways as a sum of consecutive naturals, for example, 6259853 + ... + 6419186.

It is an arithmetic number, because the mean of its divisors is an integer number (76074240000).

Almost surely, 2^{1010101000013} is an apocalyptic number.

It is an amenable number.

1010101000013 is a deficient number, since it is larger than the sum of its proper divisors (207086839987).

1010101000013 is a wasteful number, since it uses less digits than its factorization.

1010101000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12679664.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 1010101000013 its reverse (3100001010101), we get a palindrome (4110102010114).

The spelling of 1010101000013 in words is "one trillion, ten billion, one hundred one million, thirteen", and thus it is an aban number.