231311211132321 has 48 divisors (see below), whose sum is σ = 353919201159888. Its totient is φ = 145075285094400.

The previous prime is 231311211132319. The next prime is 231311211132329. The reversal of 231311211132321 is 123231112113132.

231311211132321 is a `hidden beast` number, since 2 + 3 + 1 + 311 + 2 + 1 + 1 + 1 + 323 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8845633653921 + 222465577478400 = 2974161^2 + 14915280^2 .

It is not a de Polignac number, because 231311211132321 - 2¹ = 231311211132319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (231311211132329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3775800831 + ... + 3775862091.

It is an arithmetic number, because the mean of its divisors is an integer number (7373316690831).

Almost surely, 2^{231311211132321} is an apocalyptic number.

It is an amenable number.

231311211132321 is a deficient number, since it is larger than the sum of its proper divisors (122607990027567).

231311211132321 is a wasteful number, since it uses less digits than its factorization.

231311211132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71282 (or 71279 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 231311211132321 its reverse (123231112113132), we get a palindrome (354542323245453).

The spelling of 231311211132321 in words is "two hundred thirty-one trillion, three hundred eleven billion, two hundred eleven million, one hundred thirty-two thousand, three hundred twenty-one".