334131431011300 has 144 divisors (see below), whose sum is σ = 789683610920400. Its totient is φ = 121974488064000.

The previous prime is 334131431011297. The next prime is 334131431011319. The reversal of 334131431011300 is 3110134131433.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 255166311853476 + 78965119157824 = 15973926^2 + 8886232^2 .

It is a super-2 number, since 2×334131431011300² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1353682296 + ... + 1353929104.

It is an arithmetic number, because the mean of its divisors is an integer number (5483913964725).

Almost surely, 2^{334131431011300} 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 334131431011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394841805460200).

334131431011300 is an abundant number, since it is smaller than the sum of its proper divisors (455552179909100).

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

334131431011300 is a wasteful number, since it uses less digits than its factorization.

334131431011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258626 (or 258619 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 334131431011300 its reverse (3110134131433), we get a palindrome (337241565142733).

The spelling of 334131431011300 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, four hundred thirty-one million, eleven thousand, three hundred".