204242300314013 has 48 divisors (see below), whose sum is σ = 227619458171280. Its totient is φ = 182173401298944.

The previous prime is 204242300314007. The next prime is 204242300314021. The reversal of 204242300314013 is 310413003242402.

204242300314013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 9346795906009 + 194895504408004 = 3057253^2 + 13960498^2 .

It is not a de Polignac number, because 204242300314013 - 2¹⁶ = 204242300248477 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 (204242300316013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1617915545 + ... + 1618041777.

It is an arithmetic number, because the mean of its divisors is an integer number (4742072045235).

Almost surely, 2^{204242300314013} is an apocalyptic number.

It is an amenable number.

204242300314013 is a deficient number, since it is larger than the sum of its proper divisors (23377157857267).

204242300314013 is a wasteful number, since it uses less digits than its factorization.

204242300314013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126946 (or 126909 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 204242300314013 its reverse (310413003242402), we get a palindrome (514655303556415).

The spelling of 204242300314013 in words is "two hundred four trillion, two hundred forty-two billion, three hundred million, three hundred fourteen thousand, thirteen".