313202120000000 has 1920 divisors, whose sum is σ = 1011328817241600. Its totient is φ = 95800320000000.

The previous prime is 313202119999943. The next prime is 313202120000023. The reversal of 313202120000000 is 21202313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 313202120000000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1573879999901 + ... + 1573880000099.

It is an arithmetic number, because the mean of its divisors is an integer number (526733758980).

Almost surely, 2^{313202120000000} 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 313202120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505664408620800).

313202120000000 is an abundant number, since it is smaller than the sum of its proper divisors (698126697241600).

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

313202120000000 is an frugal number, since it uses more digits than its factorization.

313202120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 313202120000000 its reverse (21202313), we get a palindrome (313202141202313).

The spelling of 313202120000000 in words is "three hundred thirteen trillion, two hundred two billion, one hundred twenty million", and thus it is an aban number.