313320132000032 has 48 divisors (see below), whose sum is σ = 644102565664320. Its totient is φ = 149747713919232.

The previous prime is 313320132000013. The next prime is 313320132000067. The reversal of 313320132000032 is 230000231023313.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 313320131999971 and 313320132000007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142437407 + ... + 144620382.

It is an arithmetic number, because the mean of its divisors is an integer number (13418803451340).

Almost surely, 2^{313320132000032} is an apocalyptic number.

313320132000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313320132000032 is an abundant number, since it is smaller than the sum of its proper divisors (330782433664288).

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

313320132000032 is a wasteful number, since it uses less digits than its factorization.

313320132000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287059305 (or 287059297 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 313320132000032 its reverse (230000231023313), we get a palindrome (543320363023345).

The spelling of 313320132000032 in words is "three hundred thirteen trillion, three hundred twenty billion, one hundred thirty-two million, thirty-two", and thus it is an aban number.