313304302080 has 1920 divisors, whose sum is σ = 1459166607360. Its totient is φ = 61869588480.

The previous prime is 313304302057. The next prime is 313304302111. The reversal of 313304302080 is 80203403313.

313304302080 is a `hidden beast` number, since 3 + 133 + 0 + 430 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7286146539 + ... + 7286146581.

It is an arithmetic number, because the mean of its divisors is an integer number (759982608).

Almost surely, 2^313304302080 is an apocalyptic number.

313304302080 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 313304302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729583303680).

313304302080 is an abundant number, since it is smaller than the sum of its proper divisors (1145862305280).

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

313304302080 is a wasteful number, since it uses less digits than its factorization.

313304302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 313304302080 its reverse (80203403313), we get a palindrome (393507705393).

The spelling of 313304302080 in words is "three hundred thirteen billion, three hundred four million, three hundred two thousand, eighty".