213111311201 has 8 divisors (see below), whose sum is σ = 213266318760. Its totient is φ = 212956353792.

The previous prime is 213111311167. The next prime is 213111311269. The reversal of 213111311201 is 102113111312.

213111311201 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 4 ways, for example, as 131972358400 + 81138952801 = 363280^2 + 284849^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213111311201 - 2³⁴ = 195931442017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213111311201.

It is not an unprimeable number, because it can be changed into a prime (213111313201) 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 7 ways as a sum of consecutive naturals, for example, 12960281 + ... + 12976713.

It is an arithmetic number, because the mean of its divisors is an integer number (26658289845).

Almost surely, 2^213111311201 is an apocalyptic number.

It is an amenable number.

213111311201 is a deficient number, since it is larger than the sum of its proper divisors (155007559).

213111311201 is a wasteful number, since it uses less digits than its factorization.

213111311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25075.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 213111311201 its reverse (102113111312), we get a palindrome (315224422513).

The spelling of 213111311201 in words is "two hundred thirteen billion, one hundred eleven million, three hundred eleven thousand, two hundred one".