321312310113141 has 24 divisors (see below), whose sum is σ = 467548127069400. Its totient is φ = 212625255338496.

The previous prime is 321312310113103. The next prime is 321312310113211. The reversal of 321312310113141 is 141311013213123.

321312310113141 is a `hidden beast` number, since 3 + 2 + 1 + 31 + 2 + 310 + 1 + 1 + 314 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42920448876900 + 278391861236241 = 6551370^2 + 16685079^2 .

It is not a de Polignac number, because 321312310113141 - 2¹⁵ = 321312310080373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321312310112141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1655385 + ... + 25404033.

It is an arithmetic number, because the mean of its divisors is an integer number (19481171961225).

Almost surely, 2^{321312310113141} is an apocalyptic number.

It is an amenable number.

321312310113141 is a deficient number, since it is larger than the sum of its proper divisors (146235816956259).

321312310113141 is a wasteful number, since it uses less digits than its factorization.

321312310113141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23759765 (or 23759762 counting only the distinct ones).

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

Adding to 321312310113141 its reverse (141311013213123), we get a palindrome (462623323326264).

The spelling of 321312310113141 in words is "three hundred twenty-one trillion, three hundred twelve billion, three hundred ten million, one hundred thirteen thousand, one hundred forty-one".