321310111320 has 192 divisors, whose sum is σ = 1188720748800. Its totient is φ = 74506671360.

The previous prime is 321310111313. The next prime is 321310111327. The reversal of 321310111320 is 23111013123.

321310111320 is a `hidden beast` number, since 3 + 21 + 310 + 1 + 11 + 320 = 666.

321310111320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (321310111313) and next prime (321310111327).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 321310111293 and 321310111302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321310111327) 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, 1672810 + ... + 1854969.

It is an arithmetic number, because the mean of its divisors is an integer number (6191253900).

Almost surely, 2^321310111320 is an apocalyptic number.

321310111320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321310111320 is an abundant number, since it is smaller than the sum of its proper divisors (867410637480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321310111320 is a wasteful number, since it uses less digits than its factorization.

321310111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527830 (or 3527823 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321310111320 its reverse (23111013123), we get a palindrome (344421124443).

The spelling of 321310111320 in words is "three hundred twenty-one billion, three hundred ten million, one hundred eleven thousand, three hundred twenty".