2013131101 has 4 divisors (see below), whose sum is σ = 2014108992. Its totient is φ = 2012153212.

The previous prime is 2013131033. The next prime is 2013131117. The reversal of 2013131101 is 1011313102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2013131101 - 2¹⁷ = 2013000029 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 (2013131161) 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 3 ways as a sum of consecutive naturals, for example, 485851 + ... + 489976.

It is an arithmetic number, because the mean of its divisors is an integer number (503527248).

Almost surely, 2^2013131101 is an apocalyptic number.

It is an amenable number.

2013131101 is a deficient number, since it is larger than the sum of its proper divisors (977891).

2013131101 is an equidigital number, since it uses as much as digits as its factorization.

2013131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977890.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2013131101 is about 44867.9295376999. The cubic root of 2013131101 is about 1262.6723957111.

Adding to 2013131101 its reverse (1011313102), we get a palindrome (3024444203).

The spelling of 2013131101 in words is "two billion, thirteen million, one hundred thirty-one thousand, one hundred one".