321145131141 has 24 divisors (see below), whose sum is σ = 480376738296. Its totient is φ = 206613613440.

The previous prime is 321145131133. The next prime is 321145131271. The reversal of 321145131141 is 141131541123.

321145131141 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 4 + 513 + 1 + 141 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98404553025 + 222740578116 = 313695^2 + 471954^2 .

It is not a de Polignac number, because 321145131141 - 2³ = 321145131133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321145131121) 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 23 ways as a sum of consecutive naturals, for example, 5489430 + ... + 5547623.

It is an arithmetic number, because the mean of its divisors is an integer number (20015697429).

Almost surely, 2^321145131141 is an apocalyptic number.

It is an amenable number.

321145131141 is a deficient number, since it is larger than the sum of its proper divisors (159231607155).

321145131141 is a wasteful number, since it uses less digits than its factorization.

321145131141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11037173 (or 11037170 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 321145131141 its reverse (141131541123), we get a palindrome (462276672264).

The spelling of 321145131141 in words is "three hundred twenty-one billion, one hundred forty-five million, one hundred thirty-one thousand, one hundred forty-one".