313133076 has 72 divisors (see below), whose sum is σ = 808647840. Its totient is φ = 102142656.

The previous prime is 313133071. The next prime is 313133087. The reversal of 313133076 is 670331313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313133071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474835 + ... + 475493.

It is an arithmetic number, because the mean of its divisors is an integer number (11231220).

Almost surely, 2^313133076 is an apocalyptic number.

313133076 is a gapful number since it is divisible by the number (36) 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 313133076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404323920).

313133076 is an abundant number, since it is smaller than the sum of its proper divisors (495514764).

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

313133076 is a wasteful number, since it uses less digits than its factorization.

313133076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 313133076 is about 17695.5665634079. The cubic root of 313133076 is about 679.0623437557.

Adding to 313133076 its reverse (670331313), we get a palindrome (983464389).

The spelling of 313133076 in words is "three hundred thirteen million, one hundred thirty-three thousand, seventy-six".