313314241020 has 144 divisors (see below), whose sum is σ = 983600247168. Its totient is φ = 73901917440.

The previous prime is 313314241003. The next prime is 313314241073. The reversal of 313314241020 is 20142413313.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730159 + ... + 1076921.

It is an arithmetic number, because the mean of its divisors is an integer number (6830557272).

Almost surely, 2^313314241020 is an apocalyptic number.

313314241020 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 313314241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491800123584).

313314241020 is an abundant number, since it is smaller than the sum of its proper divisors (670286006148).

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

313314241020 is a wasteful number, since it uses less digits than its factorization.

313314241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346860 (or 346821 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313314241020 its reverse (20142413313), we get a palindrome (333456654333).

The spelling of 313314241020 in words is "three hundred thirteen billion, three hundred fourteen million, two hundred forty-one thousand, twenty".