313301212000 has 192 divisors, whose sum is σ = 883274595840. Its totient is φ = 106987200000.

The previous prime is 313301211991. The next prime is 313301212013. The reversal of 313301212000 is 212103313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7005711 + ... + 7050289.

It is an arithmetic number, because the mean of its divisors is an integer number (4600388520).

Almost surely, 2^313301212000 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 313301212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441637297920).

313301212000 is an abundant number, since it is smaller than the sum of its proper divisors (569973383840).

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

313301212000 is a wasteful number, since it uses less digits than its factorization.

313301212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44862 (or 44844 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 313301212000 its reverse (212103313), we get a palindrome (313513315313).

The spelling of 313301212000 in words is "three hundred thirteen billion, three hundred one million, two hundred twelve thousand".