313383310240 has 1152 divisors, whose sum is σ = 1067501223936. Its totient is φ = 85349376000.

The previous prime is 313383310231. The next prime is 313383310283. The reversal of 313383310240 is 42013383313.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2467585057 + ... + 2467585183.

It is an arithmetic number, because the mean of its divisors is an integer number (926650368).

Almost surely, 2^313383310240 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 313383310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533750611968).

313383310240 is an abundant number, since it is smaller than the sum of its proper divisors (754117913696).

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

313383310240 is a wasteful number, since it uses less digits than its factorization.

313383310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 313383310240 its reverse (42013383313), we get a palindrome (355396693553).

The spelling of 313383310240 in words is "three hundred thirteen billion, three hundred eighty-three million, three hundred ten thousand, two hundred forty".