30321313002000 has 480 divisors, whose sum is σ = 111293973098880. Its totient is φ = 7684187212800.

The previous prime is 30321313001999. The next prime is 30321313002031. The reversal of 30321313002000 is 20031312303.

30321313002000 is a `hidden beast` number, since 3 + 0 + 32 + 131 + 300 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28108611 + ... + 29167389.

It is an arithmetic number, because the mean of its divisors is an integer number (231862443956).

Almost surely, 2^{30321313002000} is an apocalyptic number.

30321313002000 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 30321313002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55646986549440).

30321313002000 is an abundant number, since it is smaller than the sum of its proper divisors (80972660096880).

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

30321313002000 is a wasteful number, since it uses less digits than its factorization.

30321313002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058888 (or 1058869 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30321313002000 its reverse (20031312303), we get a palindrome (30341344314303).

The spelling of 30321313002000 in words is "thirty trillion, three hundred twenty-one billion, three hundred thirteen million, two thousand".