2313000242320 has 80 divisors (see below), whose sum is σ = 5446789954560. Its totient is φ = 913322322432.

The previous prime is 2313000242227. The next prime is 2313000242323. The reversal of 2313000242320 is 232420003132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2313000242291 and 2313000242300.

It is not an unprimeable number, because it can be changed into a prime (2313000242323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38123529 + ... + 38184151.

It is an arithmetic number, because the mean of its divisors is an integer number (68084874432).

Almost surely, 2^{2313000242320} is an apocalyptic number.

2313000242320 is a gapful number since it is divisible by the number (20) 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 2313000242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723394977280).

2313000242320 is an abundant number, since it is smaller than the sum of its proper divisors (3133789712240).

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

2313000242320 is a wasteful number, since it uses less digits than its factorization.

2313000242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66752 (or 66746 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2313000242320 its reverse (232420003132), we get a palindrome (2545420245452).

The spelling of 2313000242320 in words is "two trillion, three hundred thirteen billion, two hundred forty-two thousand, three hundred twenty".