312343310401320 has 256 divisors, whose sum is σ = 1088825852620800. Its totient is φ = 70838756495360.

The previous prime is 312343310401319. The next prime is 312343310401321. The reversal of 312343310401320 is 23104013343213.

It is an interprime number because it is at equal distance from previous prime (312343310401319) and next prime (312343310401321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (312343310401321) by changing a digit.

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, 37926300 + ... + 45421259.

It is an arithmetic number, because the mean of its divisors is an integer number (4253225986800).

Almost surely, 2^{312343310401320} is an apocalyptic number.

312343310401320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312343310401320 is an abundant number, since it is smaller than the sum of its proper divisors (776482542219480).

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

312343310401320 is a wasteful number, since it uses less digits than its factorization.

312343310401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83347768 (or 83347764 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 312343310401320 its reverse (23104013343213), we get a palindrome (335447323744533).

The spelling of 312343310401320 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred ten million, four hundred one thousand, three hundred twenty".