313120080 has 560 divisors, whose sum is σ = 1366162560. Its totient is φ = 64945152.

The previous prime is 313120069. The next prime is 313120081. The reversal of 313120080 is 80021313.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313120081) 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 111 ways as a sum of consecutive naturals, for example, 5307091 + ... + 5307149.

It is an arithmetic number, because the mean of its divisors is an integer number (2439576).

Almost surely, 2^313120080 is an apocalyptic number.

313120080 is a gapful number since it is divisible by the number (30) 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 313120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683081280).

313120080 is an abundant number, since it is smaller than the sum of its proper divisors (1053042480).

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

313120080 is a wasteful number, since it uses less digits than its factorization.

313120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 313120080 is about 17695.1993489760. The cubic root of 313120080 is about 679.0529492235.

Adding to 313120080 its reverse (80021313), we get a palindrome (393141393).

The spelling of 313120080 in words is "three hundred thirteen million, one hundred twenty thousand, eighty".