2013213113021 has 6 divisors (see below), whose sum is σ = 2212870611966. Its totient is φ = 1830193739000.

The previous prime is 2013213113011. The next prime is 2013213113053. The reversal of 2013213113021 is 1203113123102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1860946147225 + 152266965796 = 1364165^2 + 390214^2 .

It is not a de Polignac number, because 2013213113021 - 2¹⁸ = 2013212850877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013213112984 and 2013213113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013213113011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8319062330 + ... + 8319062571.

It is an arithmetic number, because the mean of its divisors is an integer number (368811768661).

Almost surely, 2^{2013213113021} is an apocalyptic number.

It is an amenable number.

2013213113021 is a deficient number, since it is larger than the sum of its proper divisors (199657498945).

2013213113021 is a wasteful number, since it uses less digits than its factorization.

2013213113021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638124923 (or 16638124912 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2013213113021 its reverse (1203113123102), we get a palindrome (3216326236123).

The spelling of 2013213113021 in words is "two trillion, thirteen billion, two hundred thirteen million, one hundred thirteen thousand, twenty-one".