313121223420 has 96 divisors (see below), whose sum is σ = 891906301440. Its totient is φ = 82055504640.

The previous prime is 313121223419. The next prime is 313121223469. The reversal of 313121223420 is 24322121313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11502025 + ... + 11529215.

It is an arithmetic number, because the mean of its divisors is an integer number (9290690640).

Almost surely, 2^313121223420 is an apocalyptic number.

313121223420 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 313121223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445953150720).

313121223420 is an abundant number, since it is smaller than the sum of its proper divisors (578785078020).

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

313121223420 is a wasteful number, since it uses less digits than its factorization.

313121223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30515 (or 30513 counting only the distinct ones).

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

Adding to 313121223420 its reverse (24322121313), we get a palindrome (337443344733).

The spelling of 313121223420 in words is "three hundred thirteen billion, one hundred twenty-one million, two hundred twenty-three thousand, four hundred twenty".