313202120 has 192 divisors, whose sum is σ = 911088000. Its totient is φ = 95800320.

The previous prime is 313202119. The next prime is 313202147. The reversal of 313202120 is 21202313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 313202095 and 313202104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1573781 + ... + 1573979.

It is an arithmetic number, because the mean of its divisors is an integer number (4745250).

Almost surely, 2^313202120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455544000).

313202120 is an abundant number, since it is smaller than the sum of its proper divisors (597885880).

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

313202120 is a wasteful number, since it uses less digits than its factorization.

313202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 313202120 is about 17697.5173400113. The cubic root of 313202120 is about 679.1122498377.

Adding to 313202120 its reverse (21202313), we get a palindrome (334404433).

The spelling of 313202120 in words is "three hundred thirteen million, two hundred two thousand, one hundred twenty".