30412013131300 has 216 divisors, whose sum is σ = 70461306828360. Its totient is φ = 11354087424000.

The previous prime is 30412013131271. The next prime is 30412013131363. The reversal of 30412013131300 is 313131021403.

It can be written as a sum of positive squares in 12 ways, for example, as 7577148086244 + 22834865045056 = 2752662^2 + 4778584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32736289236 + ... + 32736290164.

It is an arithmetic number, because the mean of its divisors is an integer number (326209753835).

Almost surely, 2^{30412013131300} 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 30412013131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35230653414180).

30412013131300 is an abundant number, since it is smaller than the sum of its proper divisors (40049293697060).

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

30412013131300 is a wasteful number, since it uses less digits than its factorization.

30412013131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 30412013131300 its reverse (313131021403), we get a palindrome (30725144152703).

The spelling of 30412013131300 in words is "thirty trillion, four hundred twelve billion, thirteen million, one hundred thirty-one thousand, three hundred".