321030000213000 has 256 divisors, whose sum is σ = 1080120519878400. Its totient is φ = 78915830169600.

The previous prime is 321030000212989. The next prime is 321030000213017. The reversal of 321030000213000 is 312000030123.

It is a super-2 number, since 2×321030000213000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23251624 + ... + 34390376.

It is an arithmetic number, because the mean of its divisors is an integer number (4219220780775).

Almost surely, 2^{321030000213000} is an apocalyptic number.

321030000213000 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 321030000213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540060259939200).

321030000213000 is an abundant number, since it is smaller than the sum of its proper divisors (759090519665400).

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

321030000213000 is a wasteful number, since it uses less digits than its factorization.

321030000213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139529 (or 11139515 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 321030000213000 its reverse (312000030123), we get a palindrome (321342000243123).

The spelling of 321030000213000 in words is "three hundred twenty-one trillion, thirty billion, two hundred thirteen thousand".