312031313320 has 128 divisors (see below), whose sum is σ = 737756398080. Its totient is φ = 118547968000.

The previous prime is 312031313303. The next prime is 312031313323. The reversal of 312031313320 is 23313130213.

It is a junction number, because it is equal to n+sod(n) for n = 312031313291 and 312031313300.

It is not an unprimeable number, because it can be changed into a prime (312031313323) 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 31 ways as a sum of consecutive naturals, for example, 80397780 + ... + 80401660.

It is an arithmetic number, because the mean of its divisors is an integer number (5763721860).

Almost surely, 2^312031313320 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 312031313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368878199040).

312031313320 is an abundant number, since it is smaller than the sum of its proper divisors (425725084760).

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

312031313320 is a wasteful number, since it uses less digits than its factorization.

312031313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 312031313320 its reverse (23313130213), we get a palindrome (335344443533).

The spelling of 312031313320 in words is "three hundred twelve billion, thirty-one million, three hundred thirteen thousand, three hundred twenty".