213111133321 has 16 divisors (see below), whose sum is σ = 217565219088. Its totient is φ = 208705536000.

The previous prime is 213111133309. The next prime is 213111133363. The reversal of 213111133321 is 123331111312.

213111133321 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 8 ways, for example, as 54563820921 + 158547312400 = 233589^2 + 398180^2 .

It is a cyclic number.

It is not a de Polignac number, because 213111133321 - 2³³ = 204521198729 is a prime.

It is a super-2 number, since 2×213111133321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213111133292 and 213111133301.

It is not an unprimeable number, because it can be changed into a prime (213111133121) 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 15 ways as a sum of consecutive naturals, for example, 20382331 + ... + 20392783.

It is an arithmetic number, because the mean of its divisors is an integer number (13597826193).

Almost surely, 2^213111133321 is an apocalyptic number.

It is an amenable number.

213111133321 is a deficient number, since it is larger than the sum of its proper divisors (4454085767).

213111133321 is a wasteful number, since it uses less digits than its factorization.

213111133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12732.

The product of its digits is 324, while the sum is 22.

Adding to 213111133321 its reverse (123331111312), we get a palindrome (336442244633).

The spelling of 213111133321 in words is "two hundred thirteen billion, one hundred eleven million, one hundred thirty-three thousand, three hundred twenty-one".