213120011331 has 40 divisors (see below), whose sum is σ = 319372092864. Its totient is φ = 141631081200.

The previous prime is 213120011261. The next prime is 213120011347. The reversal of 213120011331 is 133110021312.

213120011331 is a `hidden beast` number, since 2 + 131 + 200 + 1 + 1 + 331 = 666.

213120011331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-213120011331 is a prime.

It is a super-3 number, since 3×213120011331³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (213120011381) 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 39 ways as a sum of consecutive naturals, for example, 37710856 + ... + 37716506.

Almost surely, 2^213120011331 is an apocalyptic number.

213120011331 is a deficient number, since it is larger than the sum of its proper divisors (106252081533).

213120011331 is an equidigital number, since it uses as much as digits as its factorization.

213120011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053 (or 7044 counting only the distinct ones).

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

Adding to 213120011331 its reverse (133110021312), we get a palindrome (346230032643).

The spelling of 213120011331 in words is "two hundred thirteen billion, one hundred twenty million, eleven thousand, three hundred thirty-one".