42313314003120 has 480 divisors, whose sum is σ = 150929997004800. Its totient is φ = 10593653630976.

The previous prime is 42313314003097. The next prime is 42313314003187. The reversal of 42313314003120 is 2130041331324.

It is a happy number.

42313314003120 is a `hidden beast` number, since 4 + 2 + 3 + 133 + 1 + 400 + 3 + 120 = 666.

42313314003120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 822566361 + ... + 822617799.

It is an arithmetic number, because the mean of its divisors is an integer number (314437493760).

Almost surely, 2^{42313314003120} is an apocalyptic number.

42313314003120 is a gapful number since it is divisible by the number (40) 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 42313314003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75464998502400).

42313314003120 is an abundant number, since it is smaller than the sum of its proper divisors (108616683001680).

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

42313314003120 is a wasteful number, since it uses less digits than its factorization.

42313314003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52017 (or 52008 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42313314003120 its reverse (2130041331324), we get a palindrome (44443355334444).

The spelling of 42313314003120 in words is "forty-two trillion, three hundred thirteen billion, three hundred fourteen million, three thousand, one hundred twenty".