313484818320120 has 128 divisors (see below), whose sum is σ = 944644871808000. Its totient is φ = 83223978640896.

The previous prime is 313484818320101. The next prime is 313484818320139. The reversal of 313484818320120 is 21023818484313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313484818320101) and next prime (313484818320139).

It is a self number, because there is not a number n which added to its sum of digits gives 313484818320120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35483281 + ... + 43428479.

It is an arithmetic number, because the mean of its divisors is an integer number (7380038061000).

Almost surely, 2^{313484818320120} is an apocalyptic number.

313484818320120 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 313484818320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472322435904000).

313484818320120 is an abundant number, since it is smaller than the sum of its proper divisors (631160053487880).

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

313484818320120 is a wasteful number, since it uses less digits than its factorization.

313484818320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946677 (or 7946673 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 313484818320120 in words is "three hundred thirteen trillion, four hundred eighty-four billion, eight hundred eighteen million, three hundred twenty thousand, one hundred twenty".