321013132321023 has 20 divisors (see below), whose sum is σ = 479565871423848. Its totient is φ = 213996377059920.

The previous prime is 321013132320943. The next prime is 321013132321039. The reversal of 321013132321023 is 320123231310123.

321013132321023 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 1 + 313 + 2 + 321 + 0 + 23 = 666.

It is not a de Polignac number, because 321013132321023 - 2¹⁴ = 321013132304639 is a prime.

It is a super-3 number, since 3×321013132321023³ (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 (321013132321823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113200236 + ... + 116001377.

Almost surely, 2^{321013132321023} is an apocalyptic number.

321013132321023 is a deficient number, since it is larger than the sum of its proper divisors (158552739102825).

321013132321023 is a wasteful number, since it uses less digits than its factorization.

321013132321023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229218916 (or 229218907 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 321013132321023 its reverse (320123231310123), we get a palindrome (641136363631146).

The spelling of 321013132321023 in words is "three hundred twenty-one trillion, thirteen billion, one hundred thirty-two million, three hundred twenty-one thousand, twenty-three".