313616801300 has 288 divisors, whose sum is σ = 799628820480. Its totient is φ = 105623654400.

The previous prime is 313616801293. The next prime is 313616801339. The reversal of 313616801300 is 3108616313.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 115341341 + ... + 115344059.

It is an arithmetic number, because the mean of its divisors is an integer number (2776488960).

Almost surely, 2^313616801300 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 313616801300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399814410240).

313616801300 is an abundant number, since it is smaller than the sum of its proper divisors (486012019180).

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

313616801300 is a wasteful number, since it uses less digits than its factorization.

313616801300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 313616801300 in words is "three hundred thirteen billion, six hundred sixteen million, eight hundred one thousand, three hundred".