13013010101 has 32 divisors (see below), whose sum is σ = 16118323200. Its totient is φ = 10230494400.

The previous prime is 13013010091. The next prime is 13013010107. The reversal of 13013010101 is 10101031031.

It is a happy number.

13013010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13013010101 - 2⁶ = 13013010037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013010107) 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 in 31 ways as a sum of consecutive naturals, for example, 12381026 + ... + 12382076.

It is an arithmetic number, because the mean of its divisors is an integer number (503697600).

Almost surely, 2^13013010101 is an apocalyptic number.

It is an amenable number.

13013010101 is a deficient number, since it is larger than the sum of its proper divisors (3105313099).

13013010101 is a wasteful number, since it uses less digits than its factorization.

13013010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 13013010101 its reverse (10101031031), we get a palindrome (23114041132).

The spelling of 13013010101 in words is "thirteen billion, thirteen million, ten thousand, one hundred one".