30113001000 has 192 divisors, whose sum is σ = 107769664080. Its totient is φ = 7557734400.

The previous prime is 30113000989. The next prime is 30113001001. The reversal of 30113001000 is 10031103.

It can be written as a sum of positive squares in 8 ways, for example, as 8920046916 + 21192954084 = 94446^2 + 145578^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30113001001) 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 47 ways as a sum of consecutive naturals, for example, 54592 + ... + 251408.

Almost surely, 2^30113001000 is an apocalyptic number.

30113001000 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 30113001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53884832040).

30113001000 is an abundant number, since it is smaller than the sum of its proper divisors (77656663080).

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

30113001000 is a wasteful number, since it uses less digits than its factorization.

30113001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196861 (or 196844 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 30113001000 its reverse (10031103), we get a palindrome (30123032103).

The spelling of 30113001000 in words is "thirty billion, one hundred thirteen million, one thousand".