30321013100 has 72 divisors (see below), whose sum is σ = 75574329600. Its totient is φ = 10343488320.

The previous prime is 30321013097. The next prime is 30321013103. The reversal of 30321013100 is 131012303.

It is an interprime number because it is at equal distance from previous prime (30321013097) and next prime (30321013103).

It is a super-2 number, since 2×30321013100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (30321013103) 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 23 ways as a sum of consecutive naturals, for example, 30467 + ... + 248133.

Almost surely, 2^30321013100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30321013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37787164800).

30321013100 is an abundant number, since it is smaller than the sum of its proper divisors (45253316500).

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

30321013100 is a wasteful number, since it uses less digits than its factorization.

30321013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217887 (or 217880 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 30321013100 its reverse (131012303), we get a palindrome (30452025403).

The spelling of 30321013100 in words is "thirty billion, three hundred twenty-one million, thirteen thousand, one hundred".