313251620000 has 480 divisors, whose sum is σ = 893872869120. Its totient is φ = 106928640000.

The previous prime is 313251619987. The next prime is 313251620009. The reversal of 313251620000 is 26152313.

It is not an unprimeable number, because it can be changed into a prime (313251620009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236059337 + ... + 236060663.

It is an arithmetic number, because the mean of its divisors is an integer number (1862235144).

Almost surely, 2^313251620000 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 313251620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446936434560).

313251620000 is an abundant number, since it is smaller than the sum of its proper divisors (580621249120).

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

313251620000 is a wasteful number, since it uses less digits than its factorization.

313251620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 313251620000 its reverse (26152313), we get a palindrome (313277772313).

The spelling of 313251620000 in words is "three hundred thirteen billion, two hundred fifty-one million, six hundred twenty thousand".