313212242310 has 128 divisors (see below), whose sum is σ = 832109511168. Its totient is φ = 74820480000.

The previous prime is 313212242293. The next prime is 313212242327. The reversal of 313212242310 is 13242212313.

It is an interprime number because it is at equal distance from previous prime (313212242293) and next prime (313212242327).

It is a super-2 number, since 2×313212242310² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7010362 + ... + 7054898.

It is an arithmetic number, because the mean of its divisors is an integer number (6500855556).

Almost surely, 2^313212242310 is an apocalyptic number.

313212242310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313212242310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416054755584).

313212242310 is an abundant number, since it is smaller than the sum of its proper divisors (518897268858).

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

313212242310 is a wasteful number, since it uses less digits than its factorization.

313212242310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44870.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313212242310 its reverse (13242212313), we get a palindrome (326454454623).

The spelling of 313212242310 in words is "three hundred thirteen billion, two hundred twelve million, two hundred forty-two thousand, three hundred ten".