213133121331 has 32 divisors (see below), whose sum is σ = 313798679040. Its totient is φ = 127845091584.

The previous prime is 213133121303. The next prime is 213133121389. The reversal of 213133121331 is 133121331312.

It is not a de Polignac number, because 213133121331 - 2³⁷ = 75694167859 is a prime.

It is a super-2 number, since 2×213133121331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213133191331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686215 + ... + 947183.

It is an arithmetic number, because the mean of its divisors is an integer number (9806208720).

Almost surely, 2^213133121331 is an apocalyptic number.

213133121331 is a deficient number, since it is larger than the sum of its proper divisors (100665557709).

213133121331 is a wasteful number, since it uses less digits than its factorization.

213133121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261515.

The product of its digits is 972, while the sum is 24.

Adding to 213133121331 its reverse (133121331312), we get a palindrome (346254452643).

The spelling of 213133121331 in words is "two hundred thirteen billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred thirty-one".