30322201113000 has 1536 divisors, whose sum is σ = 113562305700480. Its totient is φ = 7265894400000.

The previous prime is 30322201112981. The next prime is 30322201113073. The reversal of 30322201113000 is 31110222303.

30322201113000 is a `hidden beast` number, since 3 + 0 + 32 + 220 + 111 + 300 + 0 = 666.

It can be written as a sum of positive squares in 64 ways, for example, as 4478581782756 + 25843619330244 = 2116266^2 + 5083662^2 .

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 383 ways as a sum of consecutive naturals, for example, 103488740854 + ... + 103488741146.

Almost surely, 2^{30322201113000} is an apocalyptic number.

30322201113000 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 30322201113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56781152850240).

30322201113000 is an abundant number, since it is smaller than the sum of its proper divisors (83240104587480).

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

30322201113000 is a wasteful number, since it uses less digits than its factorization.

30322201113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30322201113000 its reverse (31110222303), we get a palindrome (30353311335303).

The spelling of 30322201113000 in words is "thirty trillion, three hundred twenty-two billion, two hundred one million, one hundred thirteen thousand".