30321324113100 has 576 divisors, whose sum is σ = 95952560643072. Its totient is φ = 7371302400000.

The previous prime is 30321324113081. The next prime is 30321324113111. The reversal of 30321324113100 is 131142312303.

It is a super-2 number, since 2×30321324113100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3908894422 + ... + 3908902178.

It is an arithmetic number, because the mean of its divisors is an integer number (166584306672).

Almost surely, 2^{30321324113100} is an apocalyptic number.

30321324113100 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 30321324113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47976280321536).

30321324113100 is an abundant number, since it is smaller than the sum of its proper divisors (65631236529972).

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

30321324113100 is a wasteful number, since it uses less digits than its factorization.

30321324113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 30321324113100 its reverse (131142312303), we get a palindrome (30452466425403).

The spelling of 30321324113100 in words is "thirty trillion, three hundred twenty-one billion, three hundred twenty-four million, one hundred thirteen thousand, one hundred".