321114104113023 has 32 divisors (see below), whose sum is σ = 512377942164480. Its totient is φ = 197585866931040.

The previous prime is 321114104113013. The next prime is 321114104113067. The reversal of 321114104113023 is 320311401411123.

321114104113023 is a `hidden beast` number, since 3 + 2 + 111 + 410 + 4 + 1 + 130 + 2 + 3 = 666.

It is not a de Polignac number, because 321114104113023 - 2²⁸ = 321113835677567 is a prime.

It is a super-3 number, since 3×321114104113023³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321114104113013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49761723 + ... + 55843148.

It is an arithmetic number, because the mean of its divisors is an integer number (16011810692640).

Almost surely, 2^{321114104113023} is an apocalyptic number.

321114104113023 is a deficient number, since it is larger than the sum of its proper divisors (191263838051457).

321114104113023 is a wasteful number, since it uses less digits than its factorization.

321114104113023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105613556 (or 105613550 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 321114104113023 its reverse (320311401411123), we get a palindrome (641425505524146).

The spelling of 321114104113023 in words is "three hundred twenty-one trillion, one hundred fourteen billion, one hundred four million, one hundred thirteen thousand, twenty-three".