312003031320 has 192 divisors, whose sum is σ = 1042143822720. Its totient is φ = 80895532032.

The previous prime is 312003031309. The next prime is 312003031387. The reversal of 312003031320 is 23130300213.

312003031320 is a `hidden beast` number, since 31 + 200 + 303 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312003031293 and 312003031302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21078162 + ... + 21092958.

It is an arithmetic number, because the mean of its divisors is an integer number (5427832410).

Almost surely, 2^312003031320 is an apocalyptic number.

312003031320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312003031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521071911360).

312003031320 is an abundant number, since it is smaller than the sum of its proper divisors (730140791400).

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

312003031320 is a wasteful number, since it uses less digits than its factorization.

312003031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16434 (or 16427 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312003031320 its reverse (23130300213), we get a palindrome (335133331533).

The spelling of 312003031320 in words is "three hundred twelve billion, three million, thirty-one thousand, three hundred twenty".