313301220120 has 192 divisors, whose sum is σ = 1163983991040. Its totient is φ = 71593632000.

The previous prime is 313301220059. The next prime is 313301220137. The reversal of 313301220120 is 21022103313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313301220093 and 313301220102.

It is a congruent number.

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, 11707155 + ... + 11733885.

It is an arithmetic number, because the mean of its divisors is an integer number (6062416620).

Almost surely, 2^313301220120 is an apocalyptic number.

313301220120 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 313301220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581991995520).

313301220120 is an abundant number, since it is smaller than the sum of its proper divisors (850682770920).

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

313301220120 is a wasteful number, since it uses less digits than its factorization.

313301220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31406 (or 31399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313301220120 its reverse (21022103313), we get a palindrome (334323323433).

The spelling of 313301220120 in words is "three hundred thirteen billion, three hundred one million, two hundred twenty thousand, one hundred twenty".