313203012120 has 128 divisors (see below), whose sum is σ = 1051521408000. Its totient is φ = 82919894400.

The previous prime is 313203012037. The next prime is 313203012167. The reversal of 313203012120 is 21210302313.

313203012120 is a `hidden beast` number, since 3 + 1 + 320 + 301 + 21 + 20 = 666.

It is a super-2 number, since 2×313203012120² (a number of 24 digits) contains 22 as substring.

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 = 313203012093 and 313203012102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893056 + ... + 1193295.

It is an arithmetic number, because the mean of its divisors is an integer number (8215011000).

Almost surely, 2^313203012120 is an apocalyptic number.

313203012120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313203012120 is an abundant number, since it is smaller than the sum of its proper divisors (738318395880).

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

313203012120 is a wasteful number, since it uses less digits than its factorization.

313203012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086510 (or 2086500 counting only the distinct ones).

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

Adding to 313203012120 its reverse (21210302313), we get a palindrome (334413314433).

The spelling of 313203012120 in words is "three hundred thirteen billion, two hundred three million, twelve thousand, one hundred twenty".