313213333240 has 96 divisors (see below), whose sum is σ = 750108081600. Its totient is φ = 117681735680.

The previous prime is 313213333229. The next prime is 313213333247. The reversal of 313213333240 is 42333312313.

It is a super-3 number, since 3×313213333240³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 313213333199 and 313213333208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313213333247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5857425 + ... + 5910655.

It is an arithmetic number, because the mean of its divisors is an integer number (7813625850).

Almost surely, 2^313213333240 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 313213333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375054040800).

313213333240 is an abundant number, since it is smaller than the sum of its proper divisors (436894748360).

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

313213333240 is a wasteful number, since it uses less digits than its factorization.

313213333240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53785 (or 53764 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 313213333240 its reverse (42333312313), we get a palindrome (355546645553).

The spelling of 313213333240 in words is "three hundred thirteen billion, two hundred thirteen million, three hundred thirty-three thousand, two hundred forty".