2013202222013 has 4 divisors (see below), whose sum is σ = 2013340724700. Its totient is φ = 2013063719328.

The previous prime is 2013202221941. The next prime is 2013202222021. The reversal of 2013202222013 is 3102222023102.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1361044223044 + 652157998969 = 1166638^2 + 807563^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013202222013 - 2¹⁶ = 2013202156477 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 (2013202222093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69229538 + ... + 69258611.

It is an arithmetic number, because the mean of its divisors is an integer number (503335181175).

Almost surely, 2^{2013202222013} is an apocalyptic number.

It is an amenable number.

2013202222013 is a deficient number, since it is larger than the sum of its proper divisors (138502687).

2013202222013 is a wasteful number, since it uses less digits than its factorization.

2013202222013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138502686.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2013202222013 its reverse (3102222023102), we get a palindrome (5115424245115).

The spelling of 2013202222013 in words is "two trillion, thirteen billion, two hundred two million, two hundred twenty-two thousand, thirteen".