313123332000 has 192 divisors, whose sum is σ = 1027333891584. Its totient is φ = 83374054400.

The previous prime is 313123331987. The next prime is 313123332007. The reversal of 313123332000 is 233321313.

It is not an unprimeable number, because it can be changed into a prime (313123332007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8104729 + ... + 8143271.

It is an arithmetic number, because the mean of its divisors is an integer number (5350697352).

Almost surely, 2^313123332000 is an apocalyptic number.

313123332000 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 313123332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513666945792).

313123332000 is an abundant number, since it is smaller than the sum of its proper divisors (714210559584).

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

313123332000 is a wasteful number, since it uses less digits than its factorization.

313123332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39248 (or 39230 counting only the distinct ones).

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

Adding to 313123332000 its reverse (233321313), we get a palindrome (313356653313).

The spelling of 313123332000 in words is "three hundred thirteen billion, one hundred twenty-three million, three hundred thirty-two thousand".