313311302120 has 32 divisors (see below), whose sum is σ = 704992048200. Its totient is φ = 125317122048.

The previous prime is 313311302119. The next prime is 313311302131. The reversal of 313311302120 is 21203113313.

It can be written as a sum of positive squares in 4 ways, for example, as 290212773796 + 23098528324 = 538714^2 + 151982^2 .

It is a super-3 number, since 3×313311302120³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313311302092 and 313311302101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481952 + ... + 926768.

Almost surely, 2^313311302120 is an apocalyptic number.

It is an amenable number.

313311302120 is an abundant number, since it is smaller than the sum of its proper divisors (391680746080).

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

313311302120 is a wasteful number, since it uses less digits than its factorization.

313311302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462437 (or 462433 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313311302120 its reverse (21203113313), we get a palindrome (334514415433).

The spelling of 313311302120 in words is "three hundred thirteen billion, three hundred eleven million, three hundred two thousand, one hundred twenty".