30105371314000 has 160 divisors (see below), whose sum is σ = 73027155311136. Its totient is φ = 12003733913600.

The previous prime is 30105371313989. The next prime is 30105371314001. The reversal of 30105371314000 is 41317350103.

It can be written as a sum of positive squares in 16 ways, for example, as 11619017534224 + 18486353779776 = 3408668^2 + 4299576^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30105371314000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30105371314001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2595956202 + ... + 2595967798.

Almost surely, 2^{30105371314000} 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 30105371314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36513577655568).

30105371314000 is an abundant number, since it is smaller than the sum of its proper divisors (42921783997136).

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

30105371314000 is a wasteful number, since it uses less digits than its factorization.

30105371314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15650 (or 15634 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

Adding to 30105371314000 its reverse (41317350103), we get a palindrome (30146688664103).

The spelling of 30105371314000 in words is "thirty trillion, one hundred five billion, three hundred seventy-one million, three hundred fourteen thousand".