313323010000 has 800 divisors, whose sum is σ = 1031244496128. Its totient is φ = 89026560000.

The previous prime is 313323009959. The next prime is 313323010019. The reversal of 313323010000 is 10323313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1131129862 + ... + 1131130138.

Almost surely, 2^313323010000 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 313323010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515622248064).

313323010000 is an abundant number, since it is smaller than the sum of its proper divisors (717921486128).

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

313323010000 is a wasteful number, since it uses less digits than its factorization.

313323010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 313323010000 its reverse (10323313), we get a palindrome (313333333313).

The spelling of 313323010000 in words is "three hundred thirteen billion, three hundred twenty-three million, ten thousand".