201000040213 has 6 divisors (see below), whose sum is σ = 233816373366. Its totient is φ = 172285748712.

The previous prime is 201000040127. The next prime is 201000040271. The reversal of 201000040213 is 312040000102.

201000040213 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 only one way, i.e., 184493443729 + 16506596484 = 429527^2 + 128478^2 .

It is not a de Polignac number, because 201000040213 - 2¹⁷ = 200999909141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201000040193 and 201000040202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000046213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2051020770 + ... + 2051020867.

It is an arithmetic number, because the mean of its divisors is an integer number (38969395561).

Almost surely, 2^201000040213 is an apocalyptic number.

It is an amenable number.

201000040213 is a deficient number, since it is larger than the sum of its proper divisors (32816333153).

201000040213 is an equidigital number, since it uses as much as digits as its factorization.

201000040213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102041651 (or 4102041644 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 201000040213 its reverse (312040000102), we get a palindrome (513040040315).

The spelling of 201000040213 in words is "two hundred one billion, forty thousand, two hundred thirteen".