30013231314000 has 960 divisors, whose sum is σ = 107742531536640. Its totient is φ = 7181830656000.

The previous prime is 30013231313969. The next prime is 30013231314023. The reversal of 30013231314000 is 41313231003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27459497454 + ... + 27459498546.

It is an arithmetic number, because the mean of its divisors is an integer number (112231803684).

Almost surely, 2^{30013231314000} is an apocalyptic number.

30013231314000 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 30013231314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53871265768320).

30013231314000 is an abundant number, since it is smaller than the sum of its proper divisors (77729300222640).

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

30013231314000 is a wasteful number, since it uses less digits than its factorization.

30013231314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30013231314000 its reverse (41313231003), we get a palindrome (30054544545003).

The spelling of 30013231314000 in words is "thirty trillion, thirteen billion, two hundred thirty-one million, three hundred fourteen thousand".