321113013000 has 192 divisors, whose sum is σ = 1084869676800. Its totient is φ = 79043078400.

The previous prime is 321113012989. The next prime is 321113013007. The reversal of 321113013000 is 310311123.

It is a super-3 number, since 3×321113013000³ (a number of 35 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 (15).

It is not an unprimeable number, because it can be changed into a prime (321113013007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190321 + ... + 823679.

It is an arithmetic number, because the mean of its divisors is an integer number (5650362900).

Almost surely, 2^321113013000 is an apocalyptic number.

321113013000 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 321113013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542434838400).

321113013000 is an abundant number, since it is smaller than the sum of its proper divisors (763756663800).

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

321113013000 is a wasteful number, since it uses less digits than its factorization.

321113013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633409 (or 633382 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 321113013000 its reverse (310311123), we get a palindrome (321423324123).

The spelling of 321113013000 in words is "three hundred twenty-one billion, one hundred thirteen million, thirteen thousand".