313321332000 has 96 divisors (see below), whose sum is σ = 1026440722944. Its totient is φ = 83552352000.

The previous prime is 313321331963. The next prime is 313321332031. The reversal of 313321332000 is 233123313.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13043056 + ... + 13067055.

It is an arithmetic number, because the mean of its divisors is an integer number (10692090864).

Almost surely, 2^313321332000 is an apocalyptic number.

313321332000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313321332000 is an abundant number, since it is smaller than the sum of its proper divisors (713119390944).

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

313321332000 is a wasteful number, since it uses less digits than its factorization.

313321332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26110139 (or 26110121 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 313321332000 its reverse (233123313), we get a palindrome (313554455313).

The spelling of 313321332000 in words is "three hundred thirteen billion, three hundred twenty-one million, three hundred thirty-two thousand".