9313312400 has 90 divisors (see below), whose sum is σ = 26028387090. Its totient is φ = 3193128960.

The previous prime is 9313312381. The next prime is 9313312451. The reversal of 9313312400 is 42133139.

It is a happy number.

9313312400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1977047296 + 7336265104 = 44464^2 + 85652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9313312400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 217985 + ... + 257184.

It is an arithmetic number, because the mean of its divisors is an integer number (289204301).

Almost surely, 2^9313312400 is an apocalyptic number.

It is an amenable number.

9313312400 is an abundant number, since it is smaller than the sum of its proper divisors (16715074690).

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

9313312400 is a wasteful number, since it uses less digits than its factorization.

9313312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475201 (or 475183 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 9313312400 is about 96505.5045062197. The cubic root of 9313312400 is about 2103.9466522542.

Adding to 9313312400 its reverse (42133139), we get a palindrome (9355445539).

The spelling of 9313312400 in words is "nine billion, three hundred thirteen million, three hundred twelve thousand, four hundred".