1010101011013 has 32 divisors (see below), whose sum is σ = 1044467896320. Its totient is φ = 976490424000.

The previous prime is 1010101011001. The next prime is 1010101011043. The reversal of 1010101011013 is 3101101010101.

1010101011013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1010101011013 - 2¹⁷ = 1010100879941 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 (1010101011043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073433123 + ... + 1073434063.

It is an arithmetic number, because the mean of its divisors is an integer number (32639621760).

Almost surely, 2^{1010101011013} is an apocalyptic number.

It is an amenable number.

1010101011013 is a deficient number, since it is larger than the sum of its proper divisors (34366885307).

1010101011013 is an equidigital number, since it uses as much as digits as its factorization.

1010101011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1010101011013 its reverse (3101101010101), we get a palindrome (4111202021114).

The spelling of 1010101011013 in words is "one trillion, ten billion, one hundred one million, eleven thousand, thirteen".