213001331121 has 24 divisors (see below), whose sum is σ = 316016896104. Its totient is φ = 138148623360.

The previous prime is 213001331041. The next prime is 213001331129. The reversal of 213001331121 is 121133100312.

213001331121 is a `hidden beast` number, since 21 + 300 + 1 + 331 + 12 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52870104225 + 160131226896 = 229935^2 + 400164^2 .

It is not a de Polignac number, because 213001331121 - 2¹⁴ = 213001314737 is a prime.

It is a super-4 number, since 4×213001331121⁴ (a number of 46 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213001331094 and 213001331103.

It is not an unprimeable number, because it can be changed into a prime (213001331129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3840931 + ... + 3895991.

It is an arithmetic number, because the mean of its divisors is an integer number (13167370671).

Almost surely, 2^213001331121 is an apocalyptic number.

It is an amenable number.

213001331121 is a deficient number, since it is larger than the sum of its proper divisors (103015564983).

213001331121 is a wasteful number, since it uses less digits than its factorization.

213001331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66721 (or 66718 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213001331121 its reverse (121133100312), we get a palindrome (334134431433).

The spelling of 213001331121 in words is "two hundred thirteen billion, one million, three hundred thirty-one thousand, one hundred twenty-one".