202120042013 has 4 divisors (see below), whose sum is σ = 202137216060. Its totient is φ = 202102867968.

The previous prime is 202120041983. The next prime is 202120042073. The reversal of 202120042013 is 310240021202.

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 152895076324 + 49224965689 = 391018^2 + 221867^2 .

It is a cyclic number.

It is not a de Polignac number, because 202120042013 - 2²⁶ = 202052933149 is a prime.

It is a super-3 number, since 3×202120042013³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202120041982 and 202120042000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120042073) 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, 8569358 + ... + 8592911.

It is an arithmetic number, because the mean of its divisors is an integer number (50534304015).

Almost surely, 2^202120042013 is an apocalyptic number.

It is an amenable number.

202120042013 is a deficient number, since it is larger than the sum of its proper divisors (17174047).

202120042013 is a wasteful number, since it uses less digits than its factorization.

202120042013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17174046.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 202120042013 its reverse (310240021202), we get a palindrome (512360063215).

The spelling of 202120042013 in words is "two hundred two billion, one hundred twenty million, forty-two thousand, thirteen".