213231231011331 has 48 divisors (see below), whose sum is σ = 338195663769600. Its totient is φ = 128658360931776.

The previous prime is 213231231011231. The next prime is 213231231011369. The reversal of 213231231011331 is 133110132132312.

213231231011331 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 1 + 2 + 310 + 11 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-213231231011331 is a prime.

It is a super-3 number, since 3×213231231011331³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 213231231011295 and 213231231011304.

It is not an unprimeable number, because it can be changed into a prime (213231231011231) 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 47 ways as a sum of consecutive naturals, for example, 37682061 + ... + 42969758.

It is an arithmetic number, because the mean of its divisors is an integer number (7045742995200).

Almost surely, 2^{213231231011331} is an apocalyptic number.

213231231011331 is a deficient number, since it is larger than the sum of its proper divisors (124964432758269).

213231231011331 is a wasteful number, since it uses less digits than its factorization.

213231231011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80652280 (or 80652277 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 213231231011331 its reverse (133110132132312), we get a palindrome (346341363143643).

The spelling of 213231231011331 in words is "two hundred thirteen trillion, two hundred thirty-one billion, two hundred thirty-one million, eleven thousand, three hundred thirty-one".