321113100 has 144 divisors (see below), whose sum is σ = 1158425856. Its totient is φ = 66720000.

The previous prime is 321113083. The next prime is 321113113. The reversal of 321113100 is 1311123.

It is a super-3 number, since 3×321113100³ (a number of 26 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16150 + ... + 30050.

It is an arithmetic number, because the mean of its divisors is an integer number (8044624).

Almost surely, 2^321113100 is an apocalyptic number.

321113100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579212928).

321113100 is an abundant number, since it is smaller than the sum of its proper divisors (837312756).

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

321113100 is a wasteful number, since it uses less digits than its factorization.

321113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13936 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 321113100 is about 17919.6289024075. The cubic root of 321113100 is about 684.7825334867.

Adding to 321113100 its reverse (1311123), we get a palindrome (322424223).

The spelling of 321113100 in words is "three hundred twenty-one million, one hundred thirteen thousand, one hundred".