313082880320 has 224 divisors, whose sum is σ = 865022887680. Its totient is φ = 105717104640.

The previous prime is 313082880311. The next prime is 313082880347. The reversal of 313082880320 is 23088280313.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45842666 + ... + 45849494.

It is an arithmetic number, because the mean of its divisors is an integer number (3861709320).

Almost surely, 2^313082880320 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 313082880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432511443840).

313082880320 is an abundant number, since it is smaller than the sum of its proper divisors (551940007360).

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

313082880320 is a wasteful number, since it uses less digits than its factorization.

313082880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 313082880320 in words is "three hundred thirteen billion, eighty-two million, eight hundred eighty thousand, three hundred twenty".