313320103032000 has 896 divisors, whose sum is σ = 1123397686794240. Its totient is φ = 76638398054400.

The previous prime is 313320103031989. The next prime is 313320103032019. The reversal of 313320103032000 is 230301023313.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8017588461 + ... + 8017627539.

Almost surely, 2^{313320103032000} is an apocalyptic number.

313320103032000 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 313320103032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561698843397120).

313320103032000 is an abundant number, since it is smaller than the sum of its proper divisors (810077583762240).

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

313320103032000 is a wasteful number, since it uses less digits than its factorization.

313320103032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39626 (or 39606 counting only the distinct ones).

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

Adding to 313320103032000 its reverse (230301023313), we get a palindrome (313550404055313).

The spelling of 313320103032000 in words is "three hundred thirteen trillion, three hundred twenty billion, one hundred three million, thirty-two thousand".