30013312 has 128 divisors (see below), whose sum is σ = 75398400. Its totient is φ = 11612160.

The previous prime is 30013309. The next prime is 30013337. The reversal of 30013312 is 21331003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 30013292 and 30013301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697963 + ... + 698005.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 2^30013312 is an apocalyptic number.

30013312 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 30013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200).

30013312 is an abundant number, since it is smaller than the sum of its proper divisors (45385088).

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

30013312 is a wasteful number, since it uses less digits than its factorization.

30013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 30013312 is about 5478.4406540548. The cubic root of 30013312 is about 310.7692032204.

Adding to 30013312 its reverse (21331003), we get a palindrome (51344315).

The spelling of 30013312 in words is "thirty million, thirteen thousand, three hundred twelve".