313300133120 has 72 divisors (see below), whose sum is σ = 808178823816. Its totient is φ = 115680043008.

The previous prime is 313300133119. The next prime is 313300133123. The reversal of 313300133120 is 21331003313.

It can be written as a sum of positive squares in 4 ways, for example, as 28639469824 + 284660663296 = 169232^2 + 533536^2 .

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 = 313300133092 and 313300133101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313300133123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9397427 + ... + 9430706.

Almost surely, 2^313300133120 is an apocalyptic number.

It is an amenable number.

313300133120 is an abundant number, since it is smaller than the sum of its proper divisors (494878690696).

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

313300133120 is a wasteful number, since it uses less digits than its factorization.

313300133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18828167 (or 18828153 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 313300133120 its reverse (21331003313), we get a palindrome (334631136433).

The spelling of 313300133120 in words is "three hundred thirteen billion, three hundred million, one hundred thirty-three thousand, one hundred twenty".