30013020032 has 64 divisors (see below), whose sum is σ = 61224284160. Its totient is φ = 14651051520.

The previous prime is 30013020019. The next prime is 30013020049. The reversal of 30013020032 is 23002031003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 30013019989 and 30013020016.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 920033 + ... + 952095.

It is an arithmetic number, because the mean of its divisors is an integer number (956629440).

Almost surely, 2^30013020032 is an apocalyptic number.

30013020032 is a gapful number since it is divisible by the number (32) 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 30013020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30612142080).

30013020032 is an abundant number, since it is smaller than the sum of its proper divisors (31211264128).

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

30013020032 is a wasteful number, since it uses less digits than its factorization.

30013020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32251 (or 32239 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 30013020032 its reverse (23002031003), we get a palindrome (53015051035).

The spelling of 30013020032 in words is "thirty billion, thirteen million, twenty thousand, thirty-two".