2303313213330 has 256 divisors, whose sum is σ = 6240453373440. Its totient is φ = 604494544896.

The previous prime is 2303313213329. The next prime is 2303313213379. The reversal of 2303313213330 is 333123133032.

2303313213330 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 3 + 1 + 321 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2303313213294 and 2303313213303.

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 127 ways as a sum of consecutive naturals, for example, 2687646262 + ... + 2687647118.

It is an arithmetic number, because the mean of its divisors is an integer number (24376770990).

Almost surely, 2^{2303313213330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303313213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120226686720).

2303313213330 is an abundant number, since it is smaller than the sum of its proper divisors (3937140160110).

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

2303313213330 is a wasteful number, since it uses less digits than its factorization.

2303313213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 2303313213330 its reverse (333123133032), we get a palindrome (2636436346362).

The spelling of 2303313213330 in words is "two trillion, three hundred three billion, three hundred thirteen million, two hundred thirteen thousand, three hundred thirty".