313320332100000 has 288 divisors, whose sum is σ = 1029544719295680. Its totient is φ = 83427886080000.

The previous prime is 313320332099981. The next prime is 313320332100019. The reversal of 313320332100000 is 1233023313.

It is an interprime number because it is at equal distance from previous prime (313320332099981) and next prime (313320332100019).

It is a self number, because there is not a number n which added to its sum of digits gives 313320332100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201124071 + ... + 202675929.

It is an arithmetic number, because the mean of its divisors is an integer number (3574808053110).

Almost surely, 2^{313320332100000} is an apocalyptic number.

313320332100000 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 313320332100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514772359647840).

313320332100000 is an abundant number, since it is smaller than the sum of its proper divisors (716224387195680).

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

313320332100000 is an equidigital number, since it uses as much as digits as its factorization.

313320332100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552570 (or 1552542 counting only the distinct ones).

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

Adding to 313320332100000 its reverse (1233023313), we get a palindrome (313321565123313).

The spelling of 313320332100000 in words is "three hundred thirteen trillion, three hundred twenty billion, three hundred thirty-two million, one hundred thousand".