313764221605100 has 288 divisors, whose sum is σ = 783665342208000. Its totient is φ = 106814933729280.

The previous prime is 313764221605039. The next prime is 313764221605103. The reversal of 313764221605100 is 1506122467313.

It is not an unprimeable number, because it can be changed into a prime (313764221605103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100020470732 + ... + 100020473868.

It is an arithmetic number, because the mean of its divisors is an integer number (2721060216000).

Almost surely, 2^{313764221605100} 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 313764221605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391832671104000).

313764221605100 is an abundant number, since it is smaller than the sum of its proper divisors (469901120602900).

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

313764221605100 is a wasteful number, since it uses less digits than its factorization.

313764221605100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 313764221605100 in words is "three hundred thirteen trillion, seven hundred sixty-four billion, two hundred twenty-one million, six hundred five thousand, one hundred".